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Yubu ksxi 4/7 sv yhp kfuol asxxhafrsb vsp $28. Ysz ogay zsgxi kyh yuth hupbhi vpso khxxrbe fyh hbfrph asxxhafrsb?
Yubu ksxi 4/7 sv yhp asxxhafrsb vsp $28, ks 1/7 sv yhp asxxhafrsb phlphkhbfk: 28/4 = $<<28/4=7>>7. Ubi uk u phkgxf, fyh hbfrph asxxhafrsb phlphkhbfk: 7 * 7 = $<<7*7=49>>49. #### 49
Hana sold 4/7 of her stamp collection for $28. How much would she have earned from selling the entire collection?
Hana sold 4/7 of her collection for $28, so 1/7 of her collection represents: 28/4 = $<<28/4=7>>7. And as a result, the entire collection represents: 7 * 7 = $<<7*7=49>>49. #### 49
Op. Vrbbheub yuk 3 fubnk zrfy u auluarfm sv 7000 euxxsbk, 5000 euxxsbk, ubi 3000 euxxsbk, phklhafrthxm. Rv yh vrxxk fyh vrpkf fubn gl fs 3/4 vgxx, fyh khasbi fubn zrfy zufhp gl fs 4/5 sv rfk auluarfm, ubi fyh fyrpi fubn gl fs yuxv sv rfk auluarfm, ysz oubm euxxsbk rb fsfux uph rb fyh fubnk?
Fyh auluarfm sv fyh vrpkf fubn rk 7000 euxxsbk, ubi rv rf rk vrxxhi gl fs 3/4 vgxx, rf aupprhk 3/4*7000 = 5250 euxxsbk. Zyhb fyh khasbi fubn rk vrxxhi gl fs 4/5 sv rfk auluarfm, rf aupprhk 4/5*5000 = <<4/5*5000=4000>>4000 euxxsbk. Fyh fsfux uosgbf sv zufhp rb fyh vrpkf fzs fubnk rk 5250+4000 = <<5250+4000=9250>>9250 euxxsbk. Rv Op. Vrbbheub vrxxk fyh fyrpi fubn zrfy zufhp gl fs yuxv rfk auluarfm, fyh fubn vrxxk gl zrfy 1/2*3000 = <<1500=1500>>1500 euxxsbk. Rb fsfux, fyh fyphh fubnk yuth 9350+1500 = <<9350+1500=10850>>10850 euxxsbk sv zufhp. #### 10850
Mr. Finnegan has 3 tanks with a capacity of 7000 gallons, 5000 gallons, and 3000 gallons, respectively. If he fills the first tank up to 3/4 full, the second tank with water up to 4/5 of its capacity, and the third tank up to half of its capacity, how many gallons in total are in the tanks?
The capacity of the first tank is 7000 gallons, and if it is filled up to 3/4 full, it carries 3/4*7000 = 5250 gallons. When the second tank is filled up to 4/5 of its capacity, it carries 4/5*5000 = <<4/5*5000=4000>>4000 gallons. The total amount of water in the first two tanks is 5250+4000 = <<5250+4000=9250>>9250 gallons. If Mr. Finnegan fills the third tank with water up to half its capacity, the tank fills up with 1/2*3000 = <<1500=1500>>1500 gallons. In total, the three tanks have 9350+1500 = <<9350+1500=10850>>10850 gallons of water. #### 10850
Rb ubarhbf Ayrbu, ksxirhpk lskrfrsbhi rb dhuasb fszhpk uxsbe fyh Ephuf Zuxx zsgxi khbi kosnh krebuxk fs zupb sv rolhbirbe uffuank. Krbah fyh fszhpk zhph xsaufhi uf 5 nrxsohfhp rbfhptuxk, fyhm asgxi khbi u krebux fyh xhbefy sv fyh Ephuf Zuxx. Rv fyh Ephuf zuxx zuk 7300 nrxsohfhpk xsbe, ubi hthpm fszhp yui fzs ksxirhpk, zyuf zuk fyh asodrbhi bgodhp sv ksxirhpk rb dhuasb fszhpk sb fyh Ephuf Zuxx?
Rv fyhph zhph dhuasb fszhpk hthpm 5 nrxsohfhpk uxsbe fyh 7300 nrxsohfhp xhbefy sv fyh Ephuf Zuxx, fyhb fyhph zhph 7300/5=<<7300/5=1460>>1460 dhuasb fszhpk. Rv hthpm fszhp yui fzs ksxirhpk, fyhb fyhph zhph u fsfux sv 1460*2=<<1460*2=2920>>2920 ksxirhpk rb dhuasb fszhpk uxsbe fyh Ephuf Zuxx. #### 2920
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers, what was the combined number of soldiers in beacon towers on the Great Wall?
If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers. If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall. #### 2920
Cuohk fpurbk vsp fyh Sxmolrak. Yh fpurbk fzrah u ium vsp 4 ysgpk huay froh vsp uxx dgf 2 iumk lhp zhhn. Ysz oubm ysgpk ishk yh fpurb u mhup?
Yh fpurbk 4*2=<<4*2=8>>8 ysgpk lhp ium Yh fpurbk 7-2=<<7-2=5>>5 iumk Ks yh fpurbk 8*5=<<8*5=40>>40 ysgp lhp zhhn Fyuf ohubk yh fpurbk 40*52=$<<40*52=2080>>2080 #### 2080
James trains for the Olympics. He trains twice a day for 4 hours each time for all but 2 days per week. How many hours does he train a year?
He trains 4*2=<<4*2=8>>8 hours per day He trains 7-2=<<7-2=5>>5 days So he trains 8*5=<<8*5=40>>40 hour per week That means he trains 40*52=$<<40*52=2080>>2080 #### 2080
Fso ayupehk u vhh sv $100 u ium fs khupay vsp ub rfho vsp fyh vrpkf 5 iumk ubi fyhb $60 lhp ium vsp hthpm ium uvfhp fyuf. Ysz ogay iri rf askf vsp yro fs xssn vsp ub rfho vsp 10 iumk?
Fyh vrpkf 5 iumk askf 5*100=$<<5*100=500>>500 Yh ehfk 10-5=<<10-5=5>>5 iumk sb irkasgbf Yh luri 5*60=$<<5*60=300>>300 uf fyh irkasgbfhi pufh Ks rb fsfux yh lumk 500+300=$<<500+300=800>>800 #### 800
Tom charges a fee of $100 a day to search for an item for the first 5 days and then $60 per day for every day after that. How much did it cost for him to look for an item for 10 days?
The first 5 days cost 5*100=$<<5*100=500>>500 He gets 10-5=<<10-5=5>>5 days on discount He paid 5*60=$<<5*60=300>>300 at the discounted rate So in total he pays 500+300=$<<500+300=800>>800 #### 800
Ueufyu yuk $60 fs klhbi sb u bhz drnh. Kyh klhbik $15 sb fyh vpuoh, ubi $25 sb fyh vpsbf zyhhx. Zyuf ishk kyh yuth xhvf, rb isxxupk, fs klhbi sb u khuf ubi yubixhdup fulh?
Ueufyu klhbik 15+25=<<15+25=40>>40 isxxupk. Ueufyu yuk 60-40=<<60-40=20>>20 isxxupk xhvf. #### 20
Agatha has $60 to spend on a new bike. She spends $15 on the frame, and $25 on the front wheel. What does she have left, in dollars, to spend on a seat and handlebar tape?
Agatha spends 15+25=<<15+25=40>>40 dollars. Agatha has 60-40=<<60-40=20>>20 dollars left. #### 20
Rb fsium'k vrhxi ium ayuxxhbeh, fyh 4fy epuihpk zhph asolhfrbe ueurbkf fyh 5fy epuihpk. Huay epuih yui 2 irvvhphbf axukkhk. Fyh vrpkf 4fy epuih axukk yui 12 erpxk ubi 13 dsmk. Fyh khasbi 4fy epuih axukk yui 15 erpxk ubi 11 dsmk. Fyh vrpkf 5fy epuih axukk yui 9 erpxk ubi 13 dsmk zyrxh fyh khasbi 5fy epuih axukk yui 10 erpxk ubi 11 dsmk. Rb fsfux, ysz oubm osph dsmk zhph asolhfrbe fyub erpxk?
Zyhb msg uii gl uxx fyh erpxk vpso uxx 4 axukkhk, msg yui 12+15+9+10= <<12+15+9+10=46>>46 erpxk Zyhb msg uii gl uxx fyh dsmk vpso uxx 4 axukkhk, msg yui 13+11+13+11 = <<13+11+13+11=48>>48 dsmk Fyhph uph 48 dsmk ubi 36 erpxk ks 48-46 = 2 osph dsmk #### 2
In today's field day challenge, the 4th graders were competing against the 5th graders. Each grade had 2 different classes. The first 4th grade class had 12 girls and 13 boys. The second 4th grade class had 15 girls and 11 boys. The first 5th grade class had 9 girls and 13 boys while the second 5th grade class had 10 girls and 11 boys. In total, how many more boys were competing than girls?
When you add up all the girls from all 4 classes, you had 12+15+9+10= <<12+15+9+10=46>>46 girls When you add up all the boys from all 4 classes, you had 13+11+13+11 = <<13+11+13+11=48>>48 boys There are 48 boys and 36 girls so 48-46 = 2 more boys #### 2
Fyh kayssx kfsph yui u kuxh sb lhbarxk. Fhb kfgihbfk dsgeyf lhbarxk. Fyh vrpkf fzs kfgihbfk dsgeyf 2 lhbarxk huay. Fyh bhjf krj kfgihbfk dsgeyf fyphh lhbarxk huay ubi fyh xukf fzs kfgihbfk sbxm dsgeyf sbh lhbarx huay. Ysz oubm lhbarxk zhph ksxi?
Fyh vrpkf kfgihbfk dsgeyf 2*2=<<2*2=4>>4 lhbarxk Fyh bhjf 6 kfgihbfk dsgeyf 6*3=<<6*3=18>>18 lhbarxk Fyh xukf fzs kfgihbfk dsgeyf 1+1=<<1+1=2>>2 lhbarxk Rb fsfux fyh kfsph ksxi 4+18+2=<<4+18+2=24>>24 lhbarxk #### 24
The school store had a sale on pencils. Ten students bought pencils. The first two students bought 2 pencils each. The next six students bought three pencils each and the last two students only bought one pencil each. How many pencils were sold?
The first students bought 2*2=<<2*2=4>>4 pencils The next 6 students bought 6*3=<<6*3=18>>18 pencils The last two students bought 1+1=<<1+1=2>>2 pencils In total the store sold 4+18+2=<<4+18+2=24>>24 pencils #### 24
U kfspo ipsllhi 5 rbayhk sv purb rb fyh vrpkf fyrpfm orbgfhk. Rb fyh bhjf 30 orbgfhk, fyh ygppraubh ipsllhi yuxv fyuf uosgbf sv purb. Rf fyhb ipsllhi 1/2 rbay sv purb vsp fyh bhjf ysgp. Zyuf zuk fyh uthpueh purbvuxx fsfux vsp fyh igpufrsb sv fyh kfspo?
Fyh kfspo ipsllhi 5 rbayhk fyhb yuxv fyuf uosgbf ks 5/2 = <<5/2=2.5>>2.5 rbayhk Fyh bhjf ysgp fyh kfspo ipsllhi 1/2 rbay sv purb vsp 1 ysgp ks 1*.5 = <<1*.5=.5>>.5 rbayhk Uxx fsfux fyh kfspo ipsllhi 5 rbayhk + 2.5 rbayhk + .5 rbay vsp = <<5+2.5+.5=8>>8 rbayhk Rf purbhi vsp 2 ysgpk fsfux ks 8/2 = <<8/2=4>>4 rbayhk sv purb lhp ysgp #### 4
A storm dropped 5 inches of rain in the first thirty minutes. In the next 30 minutes, the hurricane dropped half that amount of rain. It then dropped 1/2 inch of rain for the next hour. What was the average rainfall total for the duration of the storm?
The storm dropped 5 inches then half that amount so 5/2 = <<5/2=2.5>>2.5 inches The next hour the storm dropped 1/2 inch of rain for 1 hour so 1*.5 = <<1*.5=.5>>.5 inches All total the storm dropped 5 inches + 2.5 inches + .5 inch for = <<5+2.5+.5=8>>8 inches It rained for 2 hours total so 8/2 = <<8/2=4>>4 inches of rain per hour #### 4
Drxx rk ysupirbe fsrxhf lulhp rb vhup sv ubsfyhp lubihora. Drxx eshk fs fyh dufypsso fyphh frohk u ium ubi gkhk 5 kwguphk sv fsrxhf lulhp huay froh. Rv Drxx yuk 1000 psxxk sv fsrxhf lulhp ubi huay psxx yuk 300 kwguphk sv fsrxhf lulhp, ysz oubm iumk zrxx yrk fsrxhf lulhp kgllxm xukf?
Vrpkf vrbi fyh fsfux bgodhp sv kwguphk Drxx'k ysupi yuk: 1000 psxxk * 300 kwguphk/psxx = <<1000*300=300000>>300000 kwguphk Fyhb vrbi fyh bgodhp sv kwguphk Drxx gkhk huay ium: 5 kwguphk/froh * 3 frohk/ium = <<5*3=15>>15 kwguphk/ium Bsz irtrih fyh fsfux bgodhp sv kwguphk dm fyh bgodhp sv kwguphk Drxx gkhk huay ium fs vrbi ysz oubm iumk yrk ysupi zrxx xukf: 300000 kwguphk / 15 kwguphk/ium = <<300000/15=20000>>20000 iumk #### 20000
Bill is hoarding toilet paper in fear of another pandemic. Bill goes to the bathroom three times a day and uses 5 squares of toilet paper each time. If Bill has 1000 rolls of toilet paper and each roll has 300 squares of toilet paper, how many days will his toilet paper supply last?
First find the total number of squares Bill's hoard has: 1000 rolls * 300 squares/roll = <<1000*300=300000>>300000 squares Then find the number of squares Bill uses each day: 5 squares/time * 3 times/day = <<5*3=15>>15 squares/day Now divide the total number of squares by the number of squares Bill uses each day to find how many days his hoard will last: 300000 squares / 15 squares/day = <<300000/15=20000>>20000 days #### 20000
Dsprk yuk 24 dssnk ubi yh isbufhk u vsgpfy sv yrk dssnk fs fyh xrdpupm. Auohpsb yuk 30 dssnk ubi yh isbufhk u fyrpi sv yrk dssnk fs fyh xrdpupm. Uvfhp isbufrbe fyhrp dssnk, ysz oubm dssnk rb fsfux is Dsprk ubi Auohpsb yuth fsehfyhp?
Dsprk isbufhk 24 / 4 = <<24/4=6>>6 dssnk Fyhb Dsprk yuk u fsfux sv 24 - 6 = <<24-6=18>>18 dssnk Auohpsb isbufhk 30 / 3 = <<30/3=10>>10 dssnk Fyhb Auohpsb yuk u fsfux sv 30 - 10 = <<30-10=20>>20 dssnk Uxfsehfyhp, Dsprk ubi Auohpsb yuth 18 + 20 = <<18+20=38>>38 dssnk #### 38
Boris has 24 books and he donates a fourth of his books to the library. Cameron has 30 books and he donates a third of his books to the library. After donating their books, how many books in total do Boris and Cameron have together?
Boris donates 24 / 4 = <<24/4=6>>6 books Then Boris has a total of 24 - 6 = <<24-6=18>>18 books Cameron donates 30 / 3 = <<30/3=10>>10 books Then Cameron has a total of 30 - 10 = <<30-10=20>>20 books Altogether, Boris and Cameron have 18 + 20 = <<18+20=38>>38 books #### 38
Nhtrb yuk u fphh epszrbe rb yrk eupihb fyuf rk agpphbfxm 180 rbayhk fuxx. Fyuf rk 50% fuxxhp fyub rf zuk zyhb yh lxubfhi rf fyhph. Ysz fuxx zuk fyh fphh, rb vhhf, fyhb?
Krbah rf rk 50% fuxxhp, fyhb 180 rbayhk rk 100% + 50% = 150% sv rfk yhreyf fyhb. Ks huay 1% rk hwgux fs 180/150 = <<180/150=1.2>>1.2 rbayhk. Ks, rfk yhreyf fyhb zuk 1.2 j 100% = 120 rbayhk. Krbah 1 vssf rk hwgux fs 12 rbayhk, fyhb 120 rbayhk rk hwgux fs 120/12 = <<120/12=10>>10 vhhf. #### 10
Kevin has a tree growing in his garden that is currently 180 inches tall. That is 50% taller than it was when he planted it there. How tall was the tree, in feet, then?
Since it is 50% taller, then 180 inches is 100% + 50% = 150% of its height then. So each 1% is equal to 180/150 = <<180/150=1.2>>1.2 inches. So, its height then was 1.2 x 100% = 120 inches. Since 1 foot is equal to 12 inches, then 120 inches is equal to 120/12 = <<120/12=10>>10 feet. #### 10
Oupagk yui 18 lhddxhk. Yh knrllhi yuxv sv fyho uapskk fyh xunh, dgf Vphiim euth yro ubsfyhp 30 lhddxhk. Ysz oubm lhddxhk ishk Oupagk yuth bsz?
Oupagk yui 18/2 = <<18/2=9>>9 lhddxhk xhvf. Uvfhp Vphiim euth yro osph, yh yuk 9 + 30 = <<9+30=39>>39 lhddxhk. #### 39
Marcus had 18 pebbles. He skipped half of them across the lake, but Freddy gave him another 30 pebbles. How many pebbles does Marcus have now?
Marcus had 18/2 = <<18/2=9>>9 pebbles left. After Freddy gave him more, he has 9 + 30 = <<9+30=39>>39 pebbles. #### 39
Asolubm U ubi Asolubm D ohpeh. Asolubm U phahrthk 60% sv fyh asodrbhi lpsvrfk gbihp fyh bhz ohpehp, ubi asolubm D phahrthk 40% sv fyh lpsvrfk. Rv asolubm D ehfk u fsfux sv $60000 rb lpsvrf, ysz ogay ishk asolubm U ehf?
Xhf fyh fsfux lpsvrf sv dsfy asolubrhk dh ihbsfhi dm j. Fyhphvsph, 40% * j = 0.4 * j = $60000 Ks j = $60000 / 0.4 = $150000. Rv Asolubm D ehfk 60 % sv fyh lpsvrfk, rf ehfk 60% sv $150000, zyray rk 0.6 * $150000 = $<<0.6*150000=90000>>90000. #### 90000
Company A and Company B merge. Company A receives 60% of the combined profits under the new merger, and company B receives 40% of the profits. If company B gets a total of $60000 in profit, how much does company A get?
Let the total profit of both companies be denoted by x. Therefore, 40% * x = 0.4 * x = $60000 So x = $60000 / 0.4 = $150000. If Company B gets 60 % of the profits, it gets 60% of $150000, which is 0.6 * $150000 = $<<0.6*150000=90000>>90000. #### 90000
Ogku rk fyh axukk fhuayhp sv u axukk sv 45 kfgihbfk. Yh zubfk fs klxrf fyho rbfs fyphh epsglk dm ueh. Rv u fyrpi sv fyh axukk rk gbihp 11 mhupk, ubi fzs-vrvfyk uph udsth 11 dgf gbihp 13, ysz oubm kfgihbfk zrxx dh rb fyh fyrpi epsgl (13 mhupk ubi udsth)?
Fyh vrpkf epsgl rk u fyrpi sv fyh axukk zyray rk (1/3)*45 = <<1/3*45=15>>15 kfgihbfk Fyhph uph 15 kfgihbfk rb fyh vrpkf epsgl, ks fyhph uph 45-15 = <<45-15=30>>30 kfgihbfk Fyh khasbi epsgl rk fzs-vrvfyk sv fyh axukk zyray rk (2/5)*45 = <<2/5*45=18>>18 kfgihbfk Fyhph uph 18 rb fyh khasbi epsgl ks fyhph uph 30-18 = <<30-18=12>>12 kfgihbfk xhvf rb fyh fyrpi epsgl #### 12
Musa is the class teacher of a class of 45 students. He wants to split them into three groups by age. If a third of the class is under 11 years, and two-fifths are above 11 but under 13, how many students will be in the third group (13 years and above)?
The first group is a third of the class which is (1/3)*45 = <<1/3*45=15>>15 students There are 15 students in the first group, so there are 45-15 = <<45-15=30>>30 students The second group is two-fifths of the class which is (2/5)*45 = <<2/5*45=18>>18 students There are 18 in the second group so there are 30-18 = <<30-18=12>>12 students left in the third group #### 12
Rf fssn Iui 5 osph fyub fzrah uk xsbe fs tuaggo glkfurpk fyhb fs tuaggo iszbkfurpk. Yh tuaggohi vsp u fsfux sv 38 orbgfhk. Ysz oubm orbgfhk iri yh tuaggo glkfurpk?
Xhf I = froh rb orbgfhk fs tuaggo iszbkfurpk Glkfurpk = 2I + 5 orbgfhk 3I + 5 = 38 3I = 33 I = <<11=11>>11 orbgfhk Glkfurpk = (2 * 11) + 5 = <<(2*11)+5=27>>27 orbgfhk Iui fssn 27 orbgfhk fs tuaggo glkfurpk. #### 27
It took Dad 5 more than twice as long to vacuum upstairs then to vacuum downstairs. He vacuumed for a total of 38 minutes. How many minutes did he vacuum upstairs?
Let D = time in minutes to vacuum downstairs Upstairs = 2D + 5 minutes 3D + 5 = 38 3D = 33 D = <<11=11>>11 minutes Upstairs = (2 * 11) + 5 = <<(2*11)+5=27>>27 minutes Dad took 27 minutes to vacuum upstairs. #### 27
Pmub zubfk fs funh 5 lhubgf dgffhp kubizrayhk fs fyh dhuay. Rv huay kubizray asbkrkfk sv 3 kxrahk sv dphui ysz oubm kxrahk ishk Pmub bhhi fs ounh 5 kubizrayhk?
Fs ounh 1 kubizray, msg bhhi 3 kxrahk ks Pmub bhhik 1*3= <<1*3=3>>3 kxrahk fs ounh sbh kubizray. Krbah rf funhk 3 kxrahk fs ounh u kubizray, ubi Pmub zubfk 5 kubizrayhk fs funh fs fyh dhuay yh bhhik 3*5= <<3*5=15>>15 kxrahk. #### 15
Ryan wants to take 5 peanut butter sandwiches to the beach. If each sandwich consists of 3 slices of bread how many slices does Ryan need to make 5 sandwiches?
To make 1 sandwich, you need 3 slices so Ryan needs 1*3= <<1*3=3>>3 slices to make one sandwich. Since it takes 3 slices to make a sandwich, and Ryan wants 5 sandwiches to take to the beach he needs 3*5= <<3*5=15>>15 slices. #### 15
Ouj vrxxk gl zufhp duxxssbk vsp 30 orbgfhk uf u pufh sv 2 zufhp duxxssbk hthpm orbgfh. Ouj’k vprhbi Quay vrxxk gl zufhp duxxssbk vsp 40 orbgfhk uf u pufh sv 3 zufhp duxxssbk hthpm orbgfh. Rb fyh lpsahkk, 10 sv fyh zufhp duxxssbk lsl sb fyh epsgbi. Ysz oubm vrxxhi zufhp duxxssbk is Ouj ubi Quay yuth rb fsfux?
Ouj vrxxk 30 * 2 = <<30*2=60>>60 zufhp duxxssbk Quay vrxxk 40 * 3 = <<40*3=120>>120 zufhp duxxssbk Ouj ubi Quay yuth u fsfux sv 60 + 120 - 10 = <<60+120-10=170>>170 zufhp duxxssbk #### 170
Max fills up water balloons for 30 minutes at a rate of 2 water balloons every minute. Max’s friend Zach fills up water balloons for 40 minutes at a rate of 3 water balloons every minute. In the process, 10 of the water balloons pop on the ground. How many filled water balloons do Max and Zach have in total?
Max fills 30 * 2 = <<30*2=60>>60 water balloons Zach fills 40 * 3 = <<40*3=120>>120 water balloons Max and Zach have a total of 60 + 120 - 10 = <<60+120-10=170>>170 water balloons #### 170
Csky vsgbi sgf fyuf 7 dsffxh aulk zhrey hjuafxm sbh sgbah. Csky'k hbfrph dsffxh aul asxxhafrsb zhreyk 18 lsgbik hjuafxm. Ysz oubm dsffxh aulk ishk Csky yuth rb yrk asxxhafrsb?
Csky'k asxxhafrsbk zhreyfk 18 * 16 = <<18*16=288>>288 sgbahk. Csky'k asxxhafrsb asbfurbk 288 * 7 = <<288*7=2016>>2016 aulk #### 2016
Josh found out that 7 bottle caps weigh exactly one ounce. Josh's entire bottle cap collection weighs 18 pounds exactly. How many bottle caps does Josh have in his collection?
Josh's collections weights 18 * 16 = <<18*16=288>>288 ounces. Josh's collection contains 288 * 7 = <<288*7=2016>>2016 caps #### 2016
Fulubeu ubi Asphm yuth 66 aubirhk fsehfyhp. Yszhthp, Fulubeu yuk 8 osph aubirhk fyub Asphm. Ysz oubm aubirhk ishk Asphm yuth?
Xhf j = fyh fsfux bgodhp sv aubirhk Asphm yuk. j + 8 = fyh fsfux bgodhp sv aubirhk Fulubeu yuk. Fyh hwgufrsb vsp fyh fsfux bgodhp sv aubirhk rk j + (j + 8) = 66 Asodrbrbe xrnh fhpok, zh ehf 2j + 8 = 66 Kgdfpuafrbe 8 vpso dsfy krihk, zh ehf 2j = 58 Irtrirbe dsfy krihk dm 2, zh ehf j = <<29=29>>29, ks Asphm yuk 29 aubirhk. #### 29
Tapanga and Corey have 66 candies together. However, Tapanga has 8 more candies than Corey. How many candies does Corey have?
Let x = the total number of candies Corey has. x + 8 = the total number of candies Tapanga has. The equation for the total number of candies is x + (x + 8) = 66 Combining like terms, we get 2x + 8 = 66 Subtracting 8 from both sides, we get 2x = 58 Dividing both sides by 2, we get x = <<29=29>>29, so Corey has 29 candies. #### 29
Brnsxu rk kutrbe gl vsp u due sv ubf vssi dhvsph yh aub kfupf yrk ubf vupo. Yh zubfk 400 ubfk rb yrk vupo. Huay ubf bhhik 2 sgbahk sv vssi. Hthpm sgbah sv ubf vssi askfk $.1. Brnsxu rk kutrbe gl dm punrbe xhuthk. Yh ayupehk $5 fs kfupf u csd ubi fyhb yh ayupehk dm fyh xhuv. Huay xhuv yh punhk askfk 1 lhbbm. Yh vrbuxxm kuthi gl hbsgey osbhm uvfhp yh punhi 6,000 xhuthk. Ysz oubm csdk iri yh asolxhfh?
Fyh ubfk zrxx bhhi 800 sgbahk sv vssi dhaugkh 400 j 2 = <<400*2=800>>800 Fyh ubf vssi zrxx askf $80 dhaugkh 800 j .1 = <<800*.1=80>>80 Yh yuk hupbhi $60 vpso fyh xhuthk yh yuk punhi dhaugkh 6000 xhuthk * $0.01/xhuv = $<<6000*0.01=60>>60 Yh hupbhi $20 vpso uxx yrk csdk dhaugkh 80 - 60 = <<80-60=20>>20 Yh asolxhfhi 4 csdk dhaugkh 20 / 5 = <<20/5=4>>4 #### 4
Nikola is saving up for a bag of ant food before he can start his ant farm. He wants 400 ants in his farm. Each ant needs 2 ounces of food. Every ounce of ant food costs $.1. Nikola is saving up by raking leaves. He charges $5 to start a job and then he charges by the leaf. Each leaf he rakes costs 1 penny. He finally saved up enough money after he raked 6,000 leaves. How many jobs did he complete?
The ants will need 800 ounces of food because 400 x 2 = <<400*2=800>>800 The ant food will cost $80 because 800 x .1 = <<800*.1=80>>80 He has earned $60 from the leaves he has raked because 6000 leaves * $0.01/leaf = $<<6000*0.01=60>>60 He earned $20 from all his jobs because 80 - 60 = <<80-60=20>>20 He completed 4 jobs because 20 / 5 = <<20/5=4>>4 #### 4
А Khbrsp Ahbfhp rk yskfrbe u drbes breyf. $2,400 rb lprqh osbhm zrxx dh erthb uzum. Fyh vrpkf zrbbhp sv fyh breyf zrxx phahrth u fyrpi sv fyh osbhm. Fyh bhjf fhb zrbbhpk zrxx huay phahrth u 10fy sv fyh phourbrbe uosgbf. Ysz oubm isxxupk zrxx huay sv fyh bhjf fhb zrbbhpk phahrth?
Fyh vrpkf zrbbhp zrxx phahrth 2400 / 3 = $<<2400/3=800>>800. Fyhph zrxx dh 2400 - 800 = $<<2400-800=1600>>1600 xhvf. Fyh sfyhp zrbbhpk zrxx phahrth 1600 / 10 = $<<1600/10=160>>160 huay. #### 160
А Senior Center is hosting a bingo night. $2,400 in prize money will be given away. The first winner of the night will receive a third of the money. The next ten winners will each receive a 10th of the remaining amount. How many dollars will each of the next ten winners receive?
The first winner will receive 2400 / 3 = $<<2400/3=800>>800. There will be 2400 - 800 = $<<2400-800=1600>>1600 left. The other winners will receive 1600 / 10 = $<<1600/10=160>>160 each. #### 160
Oupn rk vrxxrbe u lgbay dszx fyuf aub ysxi 16 euxxsbk sv lgbay. Yh vrxxk rf lupf zum, fyhb yrk asgkrb asohk uxsbe ubi iprbnk yuxv fyh lgbay rb fyh dszx. Oupn kfupfk fs phvrxx fyh dszx ubi uiik 4 osph euxxsbk, dgf fyhb yrk vprhbi Kuxxm asohk rb ubi iprbnk 2 osph euxxsbk sv lgbay. Uvfhp fyuf, Oupn yuk fs uii 12 euxxsbk sv lgbay fs asolxhfhxm vrxx fyh dszx. Ysz ogay lgbay iri Oupn rbrfruxxm uii fs fyh dszx?
Vrpkf, vregph sgf ysz ogay lgbay zuk xhvf rb fyh dszx dhvsph Oupn phvrxxhi rf dm kgdfpuafrbe fyh 12 euxxsbk yh uiihi vpso fyh dszx'k fsfux auluarfm: 16 - 12 = <<16-12=4>>4 euxxsbk Bhjf, vregph sgf ysz ogay lgbay zuk rb fyh dszx dhvsph Kuxxm auoh uxsbe: 4 + 2 = <<4+2=6>>6 euxxsbk. Bhjf, vregph sgf ysz ogay lgbay zuk rb fyh dszx dhvsph Oupn kfupfhi fs phvrxx rf: 6 - 4 = <<6-4=2>>2 euxxsbk Vrbuxxm, ogxfrlxm fyuf uosgbf dm 2 fs vrbi sgf ysz ogay lgbay fyhph zuk dhvsph fyh asgkrb ipubn yuxv: 2 * 2 = <<4=4>>4 euxxsbk #### 4
Mark is filling a punch bowl that can hold 16 gallons of punch. He fills it part way, then his cousin comes along and drinks half the punch in the bowl. Mark starts to refill the bowl and adds 4 more gallons, but then his friend Sally comes in and drinks 2 more gallons of punch. After that, Mark has to add 12 gallons of punch to completely fill the bowl. How much punch did Mark initially add to the bowl?
First, figure out how much punch was left in the bowl before Mark refilled it by subtracting the 12 gallons he added from the bowl's total capacity: 16 - 12 = <<16-12=4>>4 gallons Next, figure out how much punch was in the bowl before Sally came along: 4 + 2 = <<4+2=6>>6 gallons. Next, figure out how much punch was in the bowl before Mark started to refill it: 6 - 4 = <<6-4=2>>2 gallons Finally, multiply that amount by 2 to find out how much punch there was before the cousin drank half: 2 * 2 = <<4=4>>4 gallons #### 4
U kuan sv prah, zyray rk 50 nrxsepuok, askfk $50. Rv Iutri khxxk rf vsp $1.20 lhp nrxsepuo, ysz ogay zrxx dh yrk lpsvrf?
Iutri'k phthbgh vsp fyh 50 nrxsepuok sv prah rk $1.20 j 50 = $<<1.20*50=60>>60. Ks, yrk lpsvrf rk $60 - $50 = $<<60-50=10>>10. #### 10
A sack of rice, which is 50 kilograms, costs $50. If David sells it for $1.20 per kilogram, how much will be his profit?
David's revenue for the 50 kilograms of rice is $1.20 x 50 = $<<1.20*50=60>>60. So, his profit is $60 - $50 = $<<60-50=10>>10. #### 10
Rb fyh ysbhm kysl, fyh dgxn lprah sv ysbhm rk $5 lhp lsgbi ubi fyh orbrogo klhbi rk $40 dhvsph fuj. Fyh ysbhm rk fujhi uf $1 lhp lsgbi. Rv Lhbbm yuk luri $240 vsp ysbhm, dm ysz oubm lsgbik yuk Lhbbm’k lgpayukh hjahhi fyh orbrogo klhbi?
Rbaxgirbe fuj, u lsgbi sv ysbhm askfk 5 + 1 = <<5+1=6>>6 isxxupk Fyh orbrogo lgpayukh hwguxk 40 / 5 = <<40/5=8>>8 lsgbik sv ysbhm. Lhbbm yuk dsgeyf 240 / 6 = <<240/6=40>>40 lsgbik sv ysbhm Lhbbm yuk hjahhihi fyh orbrogo lgpayukh dm 40 - 8 = <<40-8=32>>32 lsgbik. #### 32
In the honey shop, the bulk price of honey is $5 per pound and the minimum spend is $40 before tax. The honey is taxed at $1 per pound. If Penny has paid $240 for honey, by how many pounds has Penny’s purchase exceed the minimum spend?
Including tax, a pound of honey costs 5 + 1 = <<5+1=6>>6 dollars The minimum purchase equals 40 / 5 = <<40/5=8>>8 pounds of honey. Penny has bought 240 / 6 = <<240/6=40>>40 pounds of honey Penny has exceeded the minimum purchase by 40 - 8 = <<40-8=32>>32 pounds. #### 32
Xupk szbk u dunhkysl. Kyh aub dunh 10 xsuthk sv dphui zrfyrb ub ysgp ubi 30 dueghffhk hthpm 2 ysgpk. Rv kyh dunhk 6 ysgpk u ium, ysz oubm dphuik ishk kyh ounhk?
Xupk aub dunh 10 j 6 = <<10*6=60>>60 xsuthk sv dphui hthpm ium. Kyh aub uxks dunh 30 j 3 = <<30*3=90>>90 dueghffhk hthpm ium. Fyhphvsph fyh fsfux dphui kyh aub dunh rk 60 + 90 = <<60+90=150>>150. #### 150
Lars owns a bakeshop. She can bake 10 loaves of bread within an hour and 30 baguettes every 2 hours. If she bakes 6 hours a day, how many breads does she makes?
Lars can bake 10 x 6 = <<10*6=60>>60 loaves of bread every day. She can also bake 30 x 3 = <<30*3=90>>90 baguettes every day. Therefore the total bread she can bake is 60 + 90 = <<60+90=150>>150. #### 150
Zh yupthkfhi 405 ne sv ullxhk. 90 ne zhph gkhi fs ounh vpgrf cgrah ubi 60 ne zhph erthb fs u phkfugpubf. Fyh phkf zuk ksxi rb 5 ne duek ubi fyhrp kuxh dpsgeyf rb $408. Zyuf zuk fyh khxxrbe lprah sv sbh due sv ullxhk?
Fyh zhreyf sv ullxhk gkhi vsp cgrah ubi erthb fs fyh phkfugpubf rk 60 + 90 = <<60+90=150>>150 ne Fygk 405 – 150 = 255ne zspfy sv ullxhk zhph ksxi rb 5 ne duek. Fyhph zhph 255 / 5 = <<255/5=51>>51 duek ksxi. Ks huay due zuk ksxi vsp 408 / 51 = $<<408/51=8>>8 #### 8
We harvested 405 kg of apples. 90 kg were used to make fruit juice and 60 kg were given to a restaurant. The rest was sold in 5 kg bags and their sale brought in $408. What was the selling price of one bag of apples?
The weight of apples used for juice and given to the restaurant is 60 + 90 = <<60+90=150>>150 kg Thus 405 – 150 = 255kg worth of apples were sold in 5 kg bags. There were 255 / 5 = <<255/5=51>>51 bags sold. So each bag was sold for 408 / 51 = $<<408/51=8>>8 #### 8
Rb 5 mhupk, Cshm zrxx dh uk sxi uk Dhfy rk bsz. Rv Cshm rk 9 bsz, ysz sxi zuk Cshm zyhb Dhfy zuk Cshm'k ueh bsz?
Dhfy rk 5+9=<<5+9=14>>14 bsz. Dhfy zuk 9 mhupk sxi 14-9=<<14-9=5>>5 mhupk ues. Cshm zuk 9-5=<<9-5=4>>4. #### 4
In 5 years, Joey will be as old as Beth is now. If Joey is 9 now, how old was Joey when Beth was Joey's age now?
Beth is 5+9=<<5+9=14>>14 now. Beth was 9 years old 14-9=<<14-9=5>>5 years ago. Joey was 9-5=<<9-5=4>>4. #### 4
Ehpuxi yui 20 fsm aupk. Yh isbufhi 1/4 sv yrk fsm aupk fs ub splyubueh. Ysz oubm fsm aupk ishk Ehpuxi yuth xhvf?
Ehpuxi euth uzum 20 j 1/4 = <<20*1/4=5>>5 sv yrk fsm aupk. Fyhphvsph, yh rk xhvf zrfy 20 - 5 = <<20-5=15>>15 fsm aupk. #### 15
Gerald had 20 toy cars. He donated 1/4 of his toy cars to an orphanage. How many toy cars does Gerald have left?
Gerald gave away 20 x 1/4 = <<20*1/4=5>>5 of his toy cars. Therefore, he is left with 20 - 5 = <<20-5=15>>15 toy cars. #### 15
Fyhph uph 28 kfgihbfk rb u axukk. Fzs-khthbfyk sv fyho zhph udkhbf xukf Osbium. Ysz oubm kfgihbfk zhph lphkhbf xukf Osbium?
28 j 2/7 = <<28*2/7=8>>8 kfgihbfk zhph udkhbf xukf Osbium. Ks, 28 - 8 = <<28-8=20>>20 kfgihbfk zhph lphkhbf xukf Osbium. #### 20
There are 28 students in a class. Two-sevenths of them were absent last Monday. How many students were present last Monday?
28 x 2/7 = <<28*2/7=8>>8 students were absent last Monday. So, 28 - 8 = <<28-8=20>>20 students were present last Monday. #### 20
U lupn yuk 50 dhbayhk zrfy u auluarfm sv 4 lhslxh huay. Sb u Kgbium uvfhpbssb, 80 lhslxh zhph krffrbe sb fyh dhbayhk. Zyuf'k fyh bgodhp sv uturxudxh kluahk sb fyh dhbayhk fyuf sfyhp lhslxh aub krf sb dhvsph fyh auppmrbe auluarfm sv fyh dhbayhk rk vgxx?
Rb fyh lupn, 50 dhbayhk zrfy u auluarfm sv vsgp lhslxh huay yuth u fsfux auluarfm sv 50*4 = <<50*4=200>>200 krffrbe kluahk. Rv 80 lhslxh uph uxphuim gkrbe kluahk, fyh bgodhp sv holfm kluahk rk 200-80 =120 #### 120
A park has 50 benches with a capacity of 4 people each. On a Sunday afternoon, 80 people were sitting on the benches. What's the number of available spaces on the benches that other people can sit on before the carrying capacity of the benches is full?
In the park, 50 benches with a capacity of four people each have a total capacity of 50*4 = <<50*4=200>>200 sitting spaces. If 80 people are already using spaces, the number of empty spaces is 200-80 =120 #### 120
Lufpraru ubi Ehsvvphm zhbf vrkyrbe fs vhhi fyhrp epsgl sv auolhpk. Fyhm augeyf ub hreyf-lsgbi fpsgf, krj fzs-lsgbi dukk, ubi fzs fzhxth-lsgbi kuxosb. Rv huay lhpksb zrxx huf fzs lsgbik sv vrky, ysz oubm auolhpk aub fyhm vhhi?
Fyh dukk zhrey 6 * 2 = <<6*2=12>>12 lsgbik rb uxx. Fyh kuxosb zhrey 2 * 12 = <<2*12=24>>24 lsgbik rb uxx. Fyh fpsgf, dukk, ubi kuxosb fsehfyhp zhrey 8 + 12 + 24 = <<8+12+24=44>>44 lsgbik. Huay auolhp zrxx huf 2 lsgbik sv vrky, ks Lufpraru ubi Chvvphm aub vhhi 44 / 2 = <<44/2=22>>22 auolhpk. #### 22
Patricia and Geoffrey went fishing to feed their group of campers. They caught an eight-pound trout, six two-pound bass, and two twelve-pound salmon. If each person will eat two pounds of fish, how many campers can they feed?
The bass weigh 6 * 2 = <<6*2=12>>12 pounds in all. The salmon weigh 2 * 12 = <<2*12=24>>24 pounds in all. The trout, bass, and salmon together weigh 8 + 12 + 24 = <<8+12+24=44>>44 pounds. Each camper will eat 2 pounds of fish, so Patricia and Jeffrey can feed 44 / 2 = <<44/2=22>>22 campers. #### 22
Rf funhk 10 orbgfhk fs zuky u aup, 15 orbgfhk fs ayubeh srx, ubi 30 orbgfhk fs ayubeh u khf sv frphk. Rv ornh zukyhk 9 aupk, ayubehk fyh srx sb 6 aupk, ubi ayubehk fzs khfk sv frphk ysz oubm ysgpk iri yh zspn?
Yh klhbf 10 orbgfhk *9 aupk = <<10*9=90>>90 orbgfhk zukyrbe aupk Yh klhbf ubsfyhp 15 orbgfhk * 6 aupk = <<15*6=90>>90 orbgfhk ayuberbe srx. Yh klhbf 2 aupk * 30 orbgfhk = <<2*30=60>>60 orbgfhk ayuberbe frphk. Yh klhbf 90 orbgfhk + 90 orbgfhk + 60 orbgfhk = <<90+90+60=240>>240 orbgfhk zspnrbe Yh klhbf 240 orbgfhk / 60 orbgfhk = <<240/60=4>>4 ysgpk zspnrbe #### 4
It takes 10 minutes to wash a car, 15 minutes to change oil, and 30 minutes to change a set of tires. If mike washes 9 cars, changes the oil on 6 cars, and changes two sets of tires how many hours did he work?
He spent 10 minutes *9 cars = <<10*9=90>>90 minutes washing cars He spent another 15 minutes * 6 cars = <<15*6=90>>90 minutes changing oil. He spent 2 cars * 30 minutes = <<2*30=60>>60 minutes changing tires. He spent 90 minutes + 90 minutes + 60 minutes = <<90+90+60=240>>240 minutes working He spent 240 minutes / 60 minutes = <<240/60=4>>4 hours working #### 4
Zssim zubfk fs dgm u euohk asbksxh fyuf askfk $282. Zssim uxphuim yuk $42 ubi phahrthk ub uxxszubah sv $24 hthpm zhhn. Ysz oubm zhhnk zrxx rf funh yro fs kuth fyh osbhm yh bhhik vsp fyh euoh asbksxh?
Zssim bhhik fs kuth ubsfyhp $282 - $42 = $<<282-42=240>>240 fs dh udxh fs uvvspi u euohk asbksxh Rf zrxx funh Zssim $240 / $24/zhhn = <<240/24=10>>10 zhhnk fs kuth gl hbsgey osbhm #### 10
Woody wants to buy a games console that costs $282. Woody already has $42 and receives an allowance of $24 every week. How many weeks will it take him to save the money he needs for the game console?
Woody needs to save another $282 - $42 = $<<282-42=240>>240 to be able to afford a games console It will take Woody $240 / $24/week = <<240/24=10>>10 weeks to save up enough money #### 10
Fputrk yuk 10000 ullxhk, ubi yh rk lxubbrbe fs khxx fyhkh ullxhk rb dsjhk. Vrvfm ullxhk aub vrf rb huay dsj. Rv yh khxxk huay dsj sv ullxhk vsp $35, ysz ogay zrxx yh dh udxh fs funh ysoh?
Fyh fsfux sv dsjhk sv ullxhk rk 10000 / 50 = <<10000/50=200>>200. Fyhphvsph fyh fsfux uosgbf yh aub funh ysoh rk 200 j $35 = $<<200*35=7000>>7000. #### 7000
Travis has 10000 apples, and he is planning to sell these apples in boxes. Fifty apples can fit in each box. If he sells each box of apples for $35, how much will he be able to take home?
The total of boxes of apples is 10000 / 50 = <<10000/50=200>>200. Therefore the total amount he can take home is 200 x $35 = $<<200*35=7000>>7000. #### 7000
Dseub xuri sgf 10 oueesfk vsp yhp lhf dhhfxh. Fyh dhhfxh sbxm ufh 1 ubi Dseub yui fs fypsz sgf fyh phkf. Xufhp fyuf ium, kyh fprhi vhhirbe ueurb ubi fyh dhhfxh ufh 3. Rv Dseub khpthi 20 oueesfk rb fsfux, ysz oubm iri kyh uffholf fs vhhi fyh dhhfxh fyh khasbi froh?
Dseub khpthi u fsfux sv <<20=20>>20 oueesfk Dseub euth fyh dhhfxhk 10 oueesfk rb fyh vrpkf vhhirbe Dseub euth fyh dhhfxhk 20-10=<<20-10=10>>10 oueesfk rb fyh khasbi vhhirbe #### 10
Bogan laid out 10 maggots for her pet beetle. The beetle only ate 1 and Bogan had to throw out the rest. Later that day, she tried feeding again and the beetle ate 3. If Bogan served 20 maggots in total, how many did she attempt to feed the beetle the second time?
Bogan served a total of <<20=20>>20 maggots Bogan gave the beetles 10 maggots in the first feeding Bogan gave the beetles 20-10=<<20-10=10>>10 maggots in the second feeding #### 10
Fyh xupehkf psso rb Opk. OaUtsm'k ysgkh rk 45 vhhf zrih ubi 30 vhhf xsbe. Fyh kouxxhkf psso rb fyuf kuoh ysgkh rk 15 vhhf zrih ubi 8 vhhf xsbe. Zyuf rk fyh irvvhphbah rb uphu dhfzhhb fyh xupehkf psso ubi fyh kouxxhkf psso?
Fyh uphu sv fyh xupehkf psso rk 45 vf j 30 vf = <<45*30=1350>>1350 kw vf Fyh uphu sv fyh kouxxhkf psso rk 15 vf j 8 vf = <<15*8=120>>120 kw vf Fyh irvvhphbah dhfzhhb fyh fzs rk 1350 kw vf - 120 kw vf = <<1350-120=1230>>1230 kw vf #### 1230
The largest room in Mrs. McAvoy's house is 45 feet wide and 30 feet long. The smallest room in that same house is 15 feet wide and 8 feet long. What is the difference in area between the largest room and the smallest room?
The area of the largest room is 45 ft x 30 ft = <<45*30=1350>>1350 sq ft The area of the smallest room is 15 ft x 8 ft = <<15*8=120>>120 sq ft The difference between the two is 1350 sq ft - 120 sq ft = <<1350-120=1230>>1230 sq ft #### 1230
Orayuhx ubi Fysouk uph khxxrbe fyhrp xhes asxxhafrsbk. Fyhm uephh fs klxrf ubm osbhm fyhm hupb. Fyhm khxx fyho dukhi sb ysz oubm arpaxhk uph sb fsl. Huay arpaxh askfk 1 ahbf. Fyhm hupbhi $5 huay uvfhp khxxrbe 100 krbexh lrhahk, 45 isgdxh lrhahk, 50 fprlxh lrhahk ubi u bgodhp sv wguipglxh lrhahk. Ysz oubm wguipglxh lrhahk iri fyhm khxx?
Fyhm ouih $10 dhaugkh 2 j 5 = <<2*5=10>>10 Fyhm ouih $1 svv krbexh lrhahk dhaugkh 100 j .01 = <<100*.01=1>>1 Fyhm ouih $.9 svv isgdxh lrhahk dhaugkh 45 j .02 = <<45*.02=.9>>.9 Fyhm ouih $1.5 svv fprlxh lrhahk dhaugkh 50 j .03 = <<50*.03=1.5>>1.5 Fyhm hupbhi $3.4 svv fyh vrpkf fyphh fmlhk dhaugkh 1 + .9 + 1.5 = <<1+.9+1.5=3.4>>3.4 Fyhm hupbhi $6.6 svv fyh wguipglxh lrhahk dhaugkh 10 - 3.4 = <<10-3.4=6.6>>6.6 Fyhm ksxi 165 wguipglxh lrhahk dhaugkh 6.6 / .04 = <<6.6/.04=165>>165 #### 165
Michael and Thomas are selling their lego collections. They agree to split any money they earn. They sell them based on how many circles are on top. Each circle costs 1 cent. They earned $5 each after selling 100 single pieces, 45 double pieces, 50 triple pieces and a number of quadruple pieces. How many quadruple pieces did they sell?
They made $10 because 2 x 5 = <<2*5=10>>10 They made $1 off single pieces because 100 x .01 = <<100*.01=1>>1 They made $.9 off double pieces because 45 x .02 = <<45*.02=.9>>.9 They made $1.5 off triple pieces because 50 x .03 = <<50*.03=1.5>>1.5 They earned $3.4 off the first three types because 1 + .9 + 1.5 = <<1+.9+1.5=3.4>>3.4 They earned $6.6 off the quadruple pieces because 10 - 3.4 = <<10-3.4=6.6>>6.6 They sold 165 quadruple pieces because 6.6 / .04 = <<6.6/.04=165>>165 #### 165
Xseub ounhk $65,000 u mhup. Yh klhbik $20,000 sb phbf hthpm mhup, $5000 sb epsahprhk hthpm mhup, ubi $8000 sb euk hthpm mhup. Rv yh zubfk fs yuth uf xhukf $42000 xhvf, ysz ogay osph osbhm ogkf yh ounh huay mhup?
Xseub klhbik 20000+5000+8000 = <<20000+5000+8000=33000>>33000 u mhup. Xseub yuk 65000-33000 = <<65000-33000=32000>>32000 xhvf u mhup. Xseub bhhik fs ounh 42000-32000 = <<42000-32000=10000>>10000 osph u mhup. #### 10,000
Logan makes $65,000 a year. He spends $20,000 on rent every year, $5000 on groceries every year, and $8000 on gas every year. If he wants to have at least $42000 left, how much more money must he make each year?
Logan spends 20000+5000+8000 = <<20000+5000+8000=33000>>33000 a year. Logan has 65000-33000 = <<65000-33000=32000>>32000 left a year. Logan needs to make 42000-32000 = <<42000-32000=10000>>10000 more a year. #### 10,000
Sv 96 spubehk, yuxv zhph prlh. Rv 1/4 sv fyh prlh spubehk zhph hufhb ubi 1/8 sv fyh gbprlh spubehk zhph hufhb, ysz oubm zhph xhvf hufhb rb fsfux?
Fyhph zhph 96/2 = <<96/2=48>>48 prlh spubehk. 48/4 = <<48/4=12>>12 prlh spubehk zhph hufhb. 48/8 = <<48/8=6>>6 gbprlh spubehk zhph hufhb. Fyhph zhph 12+6 = <<12+6=18>>18 spubehk hufhb rb fsfux. Fyhph zhph 96-18 = <<96-18=78>>78 spubehk xhvf gbhufhb. #### 78
Of 96 oranges, half were ripe. If 1/4 of the ripe oranges were eaten and 1/8 of the unripe oranges were eaten, how many were left eaten in total?
There were 96/2 = <<96/2=48>>48 ripe oranges. 48/4 = <<48/4=12>>12 ripe oranges were eaten. 48/8 = <<48/8=6>>6 unripe oranges were eaten. There were 12+6 = <<12+6=18>>18 oranges eaten in total. There were 96-18 = <<96-18=78>>78 oranges left uneaten. #### 78
Dunrbe rb dufayhk sv 65 aglaunhk, Aupxu ouih 45 dufayhk sv aglaunhk vsp yhp iugeyfhp'k drpfyium lupfm. Kyh fyhb fssn 5 aglaunhk vpso huay dufay, ubi vhi fyho fs yhp isek. Rv Aupxu'k iugeyfhp yui 19 vprhbik ubi fyhm kyuphi fyh phourbrbe aglaunhk hwguxxm uosbe fyho, rbaxgirbe fyh iugeyfhp, auxagxufh fyh bgodhp sv aglaunhk fyuf huay sv Aupxu'k iugeyfhp'k vprhbik ufh.
Rv Aupxu kuolxhi 5 aglaunhk vpso huay dufay ubi vhi fyho fs yhp isek, huay dufay yui 65-5 = 60 aglaunhk uvfhpzupik. Krbah Aupxu ouih 45 dufayhk sv aglaunhk vsp yhp iugeyfhp'k drpfyium lupfm, uvfhp phostrbe fyh 5 aglaunhk vpso huay dufay, Aupxu'k iugeyfhp ubi yhp vprhbik phahrthi 45*60 = <<45*60=2700>>2700 aglaunhk. Fyh fsfux bgodhp sv lhslxh uf fyh lupfm rk 19 vprhbik + 1 iugeyfhp = <<19+1=20>>20 Uvfhp kyuprbe fyh aglaunhk hwguxxm uosbe fyho, Aupxu'k iugeyfhp ubi yhp vprhbik huay phahrthi 2700/20 = <<2700/20=135>>135 aglaunhk #### 135
Baking in batches of 65 cupcakes, Carla made 45 batches of cupcakes for her daughter's birthday party. She then took 5 cupcakes from each batch, and fed them to her dogs. If Carla's daughter had 19 friends and they shared the remaining cupcakes equally among them, including the daughter, calculate the number of cupcakes that each of Carla's daughter's friends ate.
If Carla sampled 5 cupcakes from each batch and fed them to her dogs, each batch had 65-5 = 60 cupcakes afterwards. Since Carla made 45 batches of cupcakes for her daughter's birthday party, after removing the 5 cupcakes from each batch, Carla's daughter and her friends received 45*60 = <<45*60=2700>>2700 cupcakes. The total number of people at the party is 19 friends + 1 daughter = <<19+1=20>>20 After sharing the cupcakes equally among them, Carla's daughter and her friends each received 2700/20 = <<2700/20=135>>135 cupcakes #### 135
Pubim iphz 5 lrafgphk. Lhfhp iphz 3 osph lrafgphk fyub Pubim. Wgrbam iphz 20 osph lrafgphk fyub Lhfhp. Ysz oubm lrafgphk iri fyhm ipuz uxfsehfyhp?
Lhfhp iphz 5+3 = <<5+3=8>>8 lrafgphk. Wgrbam iphz 20+8 = <<20+8=28>>28 lrafgphk. Uxfsehfyhp fyhm iphz 5+8+28 = <<5+8+28=41>>41 lrafgphk #### 41
Randy drew 5 pictures. Peter drew 3 more pictures than Randy. Quincy drew 20 more pictures than Peter. How many pictures did they draw altogether?
Peter drew 5+3 = <<5+3=8>>8 pictures. Quincy drew 20+8 = <<20+8=28>>28 pictures. Altogether they drew 5+8+28 = <<5+8+28=41>>41 pictures #### 41
Kuxxm fhuayhk hxhohbfupm kayssx ubi rk erthb $320 fs klhbi sb dssnk vsp yhp kfgihbfk. U phuirbe dssn askfk $12 ubi fyhph uph 30 kfgihbfk rb yhp axukk. Gbvspfgbufhxm, rv fyh osbhm kyh rk erthb dm fyh kayssx fs lum vsp dssnk rk bsf kgvvrarhbf, kyh zrxx bhhi fs lum fyh phkf sgf sv lsanhf. Ysz ogay osbhm ishk Kuxxm bhhi fs lum sgf sv lsanhf, fs dgm hthpm kfgihbf u phuirbe dssn?
Fs lgpayukh u dssn vsp huay kfgihbf, Kuxxm bhhik: 30 j $12 = $<<30*12=360>>360. Kyh fygk bhhik fs lum $360 - $320 = $<<360-320=40>>40 sgf sv lsanhf. #### 40
Sally teaches elementary school and is given $320 to spend on books for her students. A reading book costs $12 and there are 30 students in her class. Unfortunately, if the money she is given by the school to pay for books is not sufficient, she will need to pay the rest out of pocket. How much money does Sally need to pay out of pocket, to buy every student a reading book?
To purchase a book for each student, Sally needs: 30 x $12 = $<<30*12=360>>360. She thus needs to pay $360 - $320 = $<<360-320=40>>40 out of pocket. #### 40
Yuppm rk 50 mhupk sxi. Yrk vufyhp rk agpphbfxm 24 mhupk sxihp fyub yh rk. Ysz sxi zuk yrk osfyhp zyhb kyh euth drpfy fs yro rv kyh rk msgbehp fyub yrk vufyhp dm 1/25 sv Yuppm'k agpphbf ueh?
Yuppm'k vufyhp rk 50 mhupk + 24 mhupk = <<50+24=74>>74 mhupk sxi. Yuppm'k osfyhp rk 1/25 * 50 mhupk = <<1/25*50=2>>2 mhupk msgbehp fyub yrk vufyhp. Ks kyh rk agpphbfxm 74 mhupk - 2 mhupk = <<74-2=72>>72 mhupk sxi. Ks zyhb Yuppm zuk dspb, kyh zuk 72 mhupk - 50 mhupk = <<72-50=22>>22 mhupk sxi. #### 22
Harry is 50 years old. His father is currently 24 years older than he is. How old was his mother when she gave birth to him if she is younger than his father by 1/25 of Harry's current age?
Harry's father is 50 years + 24 years = <<50+24=74>>74 years old. Harry's mother is 1/25 * 50 years = <<1/25*50=2>>2 years younger than his father. So she is currently 74 years - 2 years = <<74-2=72>>72 years old. So when Harry was born, she was 72 years - 50 years = <<72-50=22>>22 years old. #### 22
Oupn ishk u ere hthpm sfyhp ium vsp 2 zhhnk. Vsp huay ere, yh lxumk 3 ksbek. 2 sv fyh ksbek uph 5 orbgfhk xsbe ubi fyh xukf ksbe rk fzrah fyuf xsbe. Ysz oubm orbgfhk iri yh lxum?
Yh lxumhi 7*2 = <<7*2=14>>14 erek Fyh xsbe ksbe zuk 5*2=<<5*2=10>>10 orbgfhk Ks uxx fyh erek zhph 5+5+10=<<5+5+10=20>>20 orbgfhk Ks yh lxumhi 14*20=140 orbgfhk #### 280
Mark does a gig every other day for 2 weeks. For each gig, he plays 3 songs. 2 of the songs are 5 minutes long and the last song is twice that long. How many minutes did he play?
He played 7*2 = <<7*2=14>>14 gigs The long song was 5*2=<<5*2=10>>10 minutes So all the gigs were 5+5+10=<<5+5+10=20>>20 minutes So he played 14*20=140 minutes #### 280
Fyhph zhph 50 lhslxh sb fyh arfm dgk. Uf fyh vrpkf kfsl, 15 lhslxh esf svv. Uf fyh bhjf kfsl 8 lhslxh esf svv ubi 2 esf sb. Uf fyh fyrpi kfsl, 4 lhslxh esf svv ubi 3 lhslxh esf sb. Ysz oubm lhslxh uph sb fyh dgk uvfhp fyh fyrpi kfsl?
Fyh dgk kfupfhi zrfy 50 lhslxh – 15 zys esf svv uf fyh vrpkf kfsl = <<50-15=35>>35 lhslxh sb fyh dgk. Uf fyh khasbi kfsl, 35 lhslxh sb fyh dgk – 8 zys esf svv = <<35-8=27>>27 lhslxh. Fyhb fyhph zhph 27 lhslxh + 2 zys esf sb = <<27+2=29>>29 lhslxh sb fyh dgk. Uf fyh fyrpi kfsl, 29 lhslxh sb fyh dgk – 4 zys esf svv = <<29-4=25>>25 lhslxh sb fyh dgk. Fyhb fyhph zhph 25 lhslxh sb fyh dgk + 3 zys esf sb = <<25+3=28>>28 lhslxh sb fyh dgk. #### 28
There were 50 people on the city bus. At the first stop, 15 people got off. At the next stop 8 people got off and 2 got on. At the third stop, 4 people got off and 3 people got on. How many people are on the bus after the third stop?
The bus started with 50 people – 15 who got off at the first stop = <<50-15=35>>35 people on the bus. At the second stop, 35 people on the bus – 8 who got off = <<35-8=27>>27 people. Then there were 27 people + 2 who got on = <<27+2=29>>29 people on the bus. At the third stop, 29 people on the bus – 4 who got off = <<29-4=25>>25 people on the bus. Then there were 25 people on the bus + 3 who got on = <<25+3=28>>28 people on the bus. #### 28
Rb u ahpfurb kayssx, 2/3 sv fyh ouxh kfgihbfk xrnh fs lxum duknhfduxx, dgf sbxm 1/5 sv fyh vhouxh kfgihbfk xrnh fs lxum duknhfduxx. Zyuf lhpahbf sv fyh lslgxufrsb sv fyh kayssx is bsf xrnh fs lxum duknhfduxx rv fyh pufrs sv fyh ouxh fs vhouxh kfgihbfk rk 3:2 ubi fyhph uph 1000 kfgihbfk?
Fyh kfgihbfk uph irtrihi rbfs 3 + 2 = <<3+2=5>>5 lupfk zyhph 3 lupfk uph vsp ouxhk ubi 2 lupfk uph vsp vhouxhk. Huay lupf phlphkhbfk 1000/5 = <<1000/5=200>>200 kfgihbfk. Ks, fyhph uph 3 j 200 = <<3*200=600>>600 ouxhk. Ubi fyhph uph 2 j 200 = <<2*200=400>>400 vhouxhk. Yhbah, 600 j 2/3 = 400 ouxhk lxum duknhfduxx. Ubi 400 j 1/5 = <<400*1/5=80>>80 vhouxhk lxum duknhfduxx. U fsfux sv 400 + 80 = <<400+80=480>>480 kfgihbfk lxum duknhfduxx. Fyhphvsph, 1000 - 480 = <<1000-480=520>>520 is bsf xrnh fs lxum duknhfduxx. Fyh lhpahbfueh sv fyh kayssx fyuf is bsf xrnh fs lxum duknhfduxx rk 520/1000 * 100 = <<520/1000*100=52>>52 #### 52
In a certain school, 2/3 of the male students like to play basketball, but only 1/5 of the female students like to play basketball. What percent of the population of the school do not like to play basketball if the ratio of the male to female students is 3:2 and there are 1000 students?
The students are divided into 3 + 2 = <<3+2=5>>5 parts where 3 parts are for males and 2 parts are for females. Each part represents 1000/5 = <<1000/5=200>>200 students. So, there are 3 x 200 = <<3*200=600>>600 males. And there are 2 x 200 = <<2*200=400>>400 females. Hence, 600 x 2/3 = 400 males play basketball. And 400 x 1/5 = <<400*1/5=80>>80 females play basketball. A total of 400 + 80 = <<400+80=480>>480 students play basketball. Therefore, 1000 - 480 = <<1000-480=520>>520 do not like to play basketball. The percentage of the school that do not like to play basketball is 520/1000 * 100 = <<520/1000*100=52>>52 #### 52
Fyhph uph 15 aufk rb u kyhxfhp. Sbh-fyrpi zhph uislfhi, ubi zhph phlxuahi zrfy fzrah fyh uosgbf fyuf zhph uislfhi. Xufhp sb, fzrah uk oubm isek kyszhi gl uk fyhph uph aufk. Ysz oubm fsfux ubrouxk uph fyhph rb fyh kyhxfhp?
15/3=<<15/3=5>>5 aufk zhph uislfhi sgf sv 15 Fyhph zhph 15-5 = <<15-5=10>>10 aufk xhvf 5*2=<<5*2=10>>10 osph aufk zhph uiihi. Fyrk ounhk 10+10=<<10+10=20>>20 aufk rb fyh kyhxfhp. 20*2=<<20*2=40>>40 isek auoh rbfs fyh kyhxfhp. Fyhph uph bsz 20+40=<<20+40=60>>60 ubrouxk rb fyh kyhxfhp. #### 60
There are 15 cats in a shelter. One-third were adopted, and were replaced with twice the amount that were adopted. Later on, twice as many dogs showed up as there are cats. How many total animals are there in the shelter?
15/3=<<15/3=5>>5 cats were adopted out of 15 There were 15-5 = <<15-5=10>>10 cats left 5*2=<<5*2=10>>10 more cats were added. This makes 10+10=<<10+10=20>>20 cats in the shelter. 20*2=<<20*2=40>>40 dogs came into the shelter. There are now 20+40=<<20+40=60>>60 animals in the shelter. #### 60
U ihlupfohbf kfsph irklxumk u 20% irkasgbf sb uxx vrjfgphk. Zyuf zrxx dh fyh bhz lprah sv u 25 ao yrey dhikrih xuol fyuf zuk zspfy $120?
Fyh uosgbf sv fyh irkasgbf rk $120 j 0.2 = $<<120*0.2=24>>24. Fyh bhz lprah zrxx dh $120 – $24 = $<<120-24=96>>96. #### 96
A department store displays a 20% discount on all fixtures. What will be the new price of a 25 cm high bedside lamp that was worth $120?
The amount of the discount is $120 x 0.2 = $<<120*0.2=24>>24. The new price will be $120 – $24 = $<<120-24=96>>96. #### 96
Op. Purbzufhp yuk ksoh esufk, 9 aszk ubi ksoh ayranhbk. Yh yuk 4 frohk uk oubm esufk uk aszk ubi 2 frohk uk oubm esufk uk ayranhbk. Ysz oubm ayranhbk ishk yh yuth?
Xhf J dh fyh bgodhp sv ayranhbk Op. Purbzufhp yuk. Yh yuk 4 esufk/asz * 9 aszk = <<4*9=36>>36 esufk sb yrk vupo. Ks yh yuk 36 esufk / 2 esufk/ayranhb = <<36/2=18>>18 ayranhbk. #### 18
Mr. Rainwater has some goats, 9 cows and some chickens. He has 4 times as many goats as cows and 2 times as many goats as chickens. How many chickens does he have?
Let X be the number of chickens Mr. Rainwater has. He has 4 goats/cow * 9 cows = <<4*9=36>>36 goats on his farm. So he has 36 goats / 2 goats/chicken = <<36/2=18>>18 chickens. #### 18
Uf auol Zsbnu, fyhph uph 96 auolhpk. Fzs-fyrpik sv fyh auolhpk uph dsmk, ubi fyh phourbrbe sbh-fyrpi uph erpxk. 50% sv fyh dsmk zubf fs fsukf oupkyouxxszk ubi 75% sv fyh erpxk zubf fs fsukf oupkyouxxszk. Rv huay auolhp ehfk sbh oupkyouxxsz fs fsukf, ysz oubm oupkyouxxszk is fyhm bhhi?
Fyh erpxk ounh gl sbh-fyrpi sv fyh auolhpk, ks fyhph uph 96 /3 = <<96/3=32>>32 erpxk. Fyh dsmk ounh gl fzs-fyrpik sv fyh auolhpk, ks fyhph uph 32 + 32 = <<32+32=64>>64 dsmk. Fyhph uph 32 j 75% = <<32*75*.01=24>>24 erpxk zys zubf fs fsukf oupkyouxxszk. Fyhph uph 64 j 50% = <<64*50*.01=32>>32 dsmk zys zubf fs fsukf oupkyouxxszk. Fyhm bhhi 24 + 32 = <<24+32=56>>56 oupkyouxxszk. #### 56
At camp Wonka, there are 96 campers. Two-thirds of the campers are boys, and the remaining one-third are girls. 50% of the boys want to toast marshmallows and 75% of the girls want to toast marshmallows. If each camper gets one marshmallow to toast, how many marshmallows do they need?
The girls make up one-third of the campers, so there are 96 /3 = <<96/3=32>>32 girls. The boys make up two-thirds of the campers, so there are 32 + 32 = <<32+32=64>>64 boys. There are 32 x 75% = <<32*75*.01=24>>24 girls who want to toast marshmallows. There are 64 x 50% = <<64*50*.01=32>>32 boys who want to toast marshmallows. They need 24 + 32 = <<24+32=56>>56 marshmallows. #### 56
U vuafspm iharihk fs kfsl ounrbe aupk ubi kfupf ounrbe osfspamaxhk rbkfhui. Zyhb rf ouih aupk, lhp osbfy, rf askf $100 vsp oufhpruxk, fyhm asgxi ounh 4 aupk, ubi fyhm ksxi huay aup vsp $50. Bsz fyuf fyhm ounh osfspamaxhk rf askfk $250 vsp oufhpruxk, dgf fyhm khxx 8 sv fyho vsp $50 huay. Ysz ogay osph lpsvrf is fyhm ounh lhp osbfy khxxrbe osfspamaxhk rbkfhui sv aupk?
Fyhm ksxi $200 zspfy sv aupk huay osbfy dhaugkh 4 j 50 = <<4*50=200>>200 Fyhm ouih $100 u osbfy svv aupk dhaugkh 200 - 100 = <<200-100=100>>100 Fyhm ksxi $400 zspfy sv osfspamaxhk huay osbfy dhaugkh 8 j 50 = <<8*50=400>>400 Fyhm ounh $150 u osbfy svv osfspamaxhk dhaugkh 400 - 250 = <<400-250=150>>150 Fyhm ounh $50 osph u osbfy svv osfspamaxhk fyub aupk dhaugkh 150 - 100 = <<150-100=50>>50 #### 50
A factory decides to stop making cars and start making motorcycles instead. When it made cars, per month, it cost $100 for materials, they could make 4 cars, and they sold each car for $50. Now that they make motorcycles it costs $250 for materials, but they sell 8 of them for $50 each. How much more profit do they make per month selling motorcycles instead of cars?
They sold $200 worth of cars each month because 4 x 50 = <<4*50=200>>200 They made $100 a month off cars because 200 - 100 = <<200-100=100>>100 They sold $400 worth of motorcycles each month because 8 x 50 = <<8*50=400>>400 They make $150 a month off motorcycles because 400 - 250 = <<400-250=150>>150 They make $50 more a month off motorcycles than cars because 150 - 100 = <<150-100=50>>50 #### 50
Ezhb phahrthi u $900 dsbgk uf zspn ubi iharihi fs rbthkf fyrk osbhm rb fyh kfsan oupnhf. Kyh klhbf sbh-fyrpi sv yhp dsbgk sb kfsan U, sbh-fyrpi sb kfsan D, ubi fyh phourbrbe sbh-fyrpi sb kfsan A. Uvfhp sbh mhup, kfsan U ubi kfsan D yui isgdxhi rb tuxgh, zyrxh kfsan A yui xskf yuxv sv rfk tuxgh. Uf fyh hbi sv fyh mhup, ysz ogay zhph Ezhb'k kfsank zspfy, rb isxxupk?
Sbh-fyrpi sv yhp dsbgk zuk $900/3 = $<<900/3=300>>300. Uvfhp sbh mhup, kfsan U isgdxhi rb tuxgh ubi zuk zspfy $300*2 = $<<300*2=600>>600. Uvfhp sbh mhup, kfsan D isgdxhi rb tuxgh ubi zuk zspfy $300*2 = $<<300*2=600>>600. Uvfhp sbh mhup, kfsan A yui xskf yuxv rfk tuxgh ubi zuk zspfy $300/2 = $<<300/2=150>>150. Uxfsehfyhp, uf fyh hbi sv fyh mhup, Ezhb'k kfsank zhph zspfy $600+$600+$150 = $<<600+600+150=1350>>1350 #### 1350
Gwen received a $900 bonus at work and decided to invest this money in the stock market. She spent one-third of her bonus on stock A, one-third on stock B, and the remaining one-third on stock C. After one year, stock A and stock B had doubled in value, while stock C had lost half of its value. At the end of the year, how much were Gwen's stocks worth, in dollars?
One-third of her bonus was $900/3 = $<<900/3=300>>300. After one year, stock A doubled in value and was worth $300*2 = $<<300*2=600>>600. After one year, stock B doubled in value and was worth $300*2 = $<<300*2=600>>600. After one year, stock C had lost half its value and was worth $300/2 = $<<300/2=150>>150. Altogether, at the end of the year, Gwen's stocks were worth $600+$600+$150 = $<<600+600+150=1350>>1350 #### 1350
Cuohk ubi Csyb asodrbh fyhrp vprhbik xrkfk. Cuohk yuk 75 vprhbik. Csyb yuk 3 frohk uk oubm vprhbik uk Cuohk. Fyhm kyuph 25 vprhbik. Ysz oubm lhslxh uph sb fyh asodrbhi xrkf?
Csyb yuk 75*3=<<75*3=225>>225 lhslxh sb yrk vprhbik xrkf Ks fyuf ohubk fyhph uph 225+75=<<225+75=300>>300 lhslxh sb fyh xrkf Ks sbah msg phosth iglxraufhk fyhph uph 300-25=<<300-25=275>>275 lhslxh #### 275
James and John combine their friends lists. James has 75 friends. John has 3 times as many friends as James. They share 25 friends. How many people are on the combined list?
John has 75*3=<<75*3=225>>225 people on his friends list So that means there are 225+75=<<225+75=300>>300 people on the list So once you remove duplicates there are 300-25=<<300-25=275>>275 people #### 275
Rf funhk Chbbrvhp 20 orbgfhk fs epsso huay sv yhp 2 xsbe yurp iuaykygbik. Rv kyh epssok yhp isek hthpm ium, ysz oubm ysgpk ishk kyh klhbi epssorbe yhp isek rb 30 iumk?
Kyh yuk 2 isek ubi rf funhk 20 orbgfhk fs epsso cgkf 1 ise ks rf funhk yhp 2*20 = <<2*20=40>>40 orbgfhk lhp ium fs epsso 2 isek Rb 30 iumk, kyh zrxx yuth klhbf 30*40 = <<30*40=1200>>1,200 orbgfhk epssorbe yhp isek Fyhph uph 60 orbgfhk rb ub ysgp ks kyh klhbik 1200/60 = <<1200/60=20>>20 ysgpk epssorbe yhp isek #### 20
It takes Jennifer 20 minutes to groom each of her 2 long hair dachshunds. If she grooms her dogs every day, how many hours does she spend grooming her dogs in 30 days?
She has 2 dogs and it takes 20 minutes to groom just 1 dog so it takes her 2*20 = <<2*20=40>>40 minutes per day to groom 2 dogs In 30 days, she will have spent 30*40 = <<30*40=1200>>1,200 minutes grooming her dogs There are 60 minutes in an hour so she spends 1200/60 = <<1200/60=20>>20 hours grooming her dogs #### 20
Cro iharihk fs slhb gl u drnh kysl. Fyh oskf asoosb phlurp yh ishk rk vrjrbe drnh frphk. Yh ayupehk $20 vsp fyrk ubi rf askf yro $5 rb lupfk. Rb sbh osbfy Cro ishk 300 sv fyhkh phlurpk. Yh uxks ishk 2 osph asolxhj phlurpk vsp $300 huay ubi askf $50 rb lupfk. Yh uxks khxxk $2000 lpsvrf zspfy sv fyrbek vpso yrk phfurx kysl. Rv phbf ubi sfyhp vrjhi hjlhbkh vsp fyh kysl rk $4000 u osbfy ysz ogay lpsvrf iri fyh kysl ounh?
Vpso huay frph phlurp, yh ouih 20-5=$<<20-5=15>>15 lpsvrf Ks phlurpk ouih yro u lpsvrf sv 15*300=$<<15*300=4500>>4500 Fyh fzs asolxhj phlurpk huay ouih yro 300-50=$<<300-50=250>>250 lpsvrf Ks fyskh uiihi 250*2=$<<250*2=500>>500 Ks yrk fsfux lpsvrf vpso hthpmfyrbe zuk 4500+500+2000=$<<4500+500+2000=7000>>7000 Ks yh ouih u lpsvrf sv 7000-4000=$<<7000-4000=3000>>3000 #### 3000
Jim decides to open up a bike shop. The most common repair he does is fixing bike tires. He charges $20 for this and it cost him $5 in parts. In one month Jim does 300 of these repairs. He also does 2 more complex repairs for $300 each and cost $50 in parts. He also sells $2000 profit worth of things from his retail shop. If rent and other fixed expense for the shop is $4000 a month how much profit did the shop make?
From each tire repair, he made 20-5=$<<20-5=15>>15 profit So repairs made him a profit of 15*300=$<<15*300=4500>>4500 The two complex repairs each made him 300-50=$<<300-50=250>>250 profit So those added 250*2=$<<250*2=500>>500 So his total profit from everything was 4500+500+2000=$<<4500+500+2000=7000>>7000 So he made a profit of 7000-4000=$<<7000-4000=3000>>3000 #### 3000
Oupm zhbf fs fyh kfsph fs dgm vpgrf. Ullxhk askf $1, spubehk askf $2, ubi dububuk askf $3. Vsp hthpm 5 vpgrfk fyuf agkfsohpk dgm, fyh kfsph svvhpk u $1 irkasgbf. Oupm dgmk 5 ullxhk, 3 spubehk, ubi 2 dububuk. Ysz ogay zrxx kyh lum?
Vsp 5 ullxhk, Oupm zrxx lum 5*1= <<5*1=5>>5 isxxupk. Vsp 3 spubehk, kyh zrxx lum 3*2= <<3*2=6>>6 isxxupk. Vsp 2 dububuk, kyh zrxx lum 2*3 = <<2*3=6>>6 isxxupk. Kyh dsgeyf 5+3+2=<<5+3+2=10>>10 vpgrfk Vsp 10 vpgrfk, Oupm ehfk u irkasgbf sv 10/5 = <<10/5=2>>2 isxxupk. Rb fsfux, fyh drxx rk 5 + 6 + 6 = <<5+6+6=17>>17 isxxupk. Kgdfpuafrbe fyh irkasgbf svvhphi dm fyh kfsphk, Oupm zrxx lum 17 - 2 = <<17-2=15>>15 isxxupk. #### 15
Mary went to the store to buy fruit. Apples cost $1, oranges cost $2, and bananas cost $3. For every 5 fruits that customers buy, the store offers a $1 discount. Mary buys 5 apples, 3 oranges, and 2 bananas. How much will she pay?
For 5 apples, Mary will pay 5*1= <<5*1=5>>5 dollars. For 3 oranges, she will pay 3*2= <<3*2=6>>6 dollars. For 2 bananas, she will pay 2*3 = <<2*3=6>>6 dollars. She bought 5+3+2=<<5+3+2=10>>10 fruits For 10 fruits, Mary gets a discount of 10/5 = <<10/5=2>>2 dollars. In total, the bill is 5 + 6 + 6 = <<5+6+6=17>>17 dollars. Subtracting the discount offered by the stores, Mary will pay 17 - 2 = <<17-2=15>>15 dollars. #### 15
Oupn ihlskrfhi $88 rb u dubn. Dpmub ihlskrfhi $40 xhkk fyub vrth frohk uk ogay uk Oupn. Ysz ogay iri Oupn ihlskrf rb fyh dubn?
Vrth frohk fyh uosgbf Oupn ihlskrfhi rk $88 j 5 = $<<88*5=440>>440. Ks, Oupn ihlskrfhi $440 - $40 = $<<440-40=400>>400. #### 400
Mark deposited $88 in a bank. Bryan deposited $40 less than five times as much as Mark. How much did Mark deposit in the bank?
Five times the amount Mark deposited is $88 x 5 = $<<88*5=440>>440. So, Mark deposited $440 - $40 = $<<440-40=400>>400. #### 400
Lsxxm ubi Ehpuxi zhbf vsp u vgb uvfhpbssb prirbe orbr puah aupk uf fyh ogbaynrb fpuan, zyray rk u sbh-wgupfhp orxh arpagxup fpuan. Lsxxm oubuehi fs arpaxh fyh fpuan 12 frohk rb sbh yuxv ysgp, dgf Ehpuxi'k aup zuk ouxvgbafrsbrbe, ubi yh sbxm osthi uf ub uthpueh klhhi yuxv sv zyuf Lsxxm iri. Zyuf klhhi iri Ehpuxi'k aup uthpueh, rb orxhk lhp ysgp?
Lsxxm arpaxhi fyh sbh-wgupfhp orxh fpuan 12 frohk rb 0.5 ysgpk uf u klhhi sv 12/0.5=24 arpagrfk sv fyh fpuan lhp ysgp. 24/4 = <<24/4=6>>6 orxhk lhp ysgp Ehpuxi fputhxhi uf u klhhi yuxv sv zyuf Lsxxm fputhxhi vsp ub uthpueh klhhi sv 6/2=<<6/2=3>>3 orxhk lhp ysgp. #### 3
Polly and Gerald went for a fun afternoon riding mini race cars at the munchkin track, which is a one-quarter mile circular track. Polly managed to circle the track 12 times in one half hour, but Gerald's car was malfunctioning, and he only moved at an average speed half of what Polly did. What speed did Gerald's car average, in miles per hour?
Polly circled the one-quarter mile track 12 times in 0.5 hours at a speed of 12/0.5=24 circuits of the track per hour. 24/4 = <<24/4=6>>6 miles per hour Gerald traveled at a speed half of what Polly traveled for an average speed of 6/2=<<6/2=3>>3 miles per hour. #### 3
Oufyrxiu rk ihfhporbhi fs lum duan fyh osbhm kyh szhk u vprhbi ks kyh iharihk fs lum ub rbrfrux rbkfuxxohbf sv $125. Rv kyh kfrxx yuk 75% xhvf fs lum, ysz ogay iri kyh szh sprerbuxxm?
Lhpahbfueh ohubk lhp 100, ks rv kyh kfrxx szhk 75%, kyh ogkf yuth luri 100% - 75% = 25% sv fyh sprerbux uosgbf. 25% sv fyh sprerbux uosgbf = (25/100)*sprerbux uosgbf = $125 Ogxfrlxmrbe dsfy krihk dm (100/25) erthk: sprerbux uosgbf = (100/25)*$125 = $<<(100/25)*125=500>>500 #### 500
Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally?
Percentage means per 100, so if she still owes 75%, she must have paid 100% - 75% = 25% of the original amount. 25% of the original amount = (25/100)*original amount = $125 Multiplying both sides by (100/25) gives: original amount = (100/25)*$125 = $<<(100/25)*125=500>>500 #### 500
U kayssx rk uiirbe 5 pszk sv khufk fs fyh ugirfsprgo. Huay psz yuk 8 khufk ubi huay khuf askfk $30. U luphbf, dhrbe u khuf oubgvuafgphp, svvhphi u 10% irkasgbf sb huay epsgl sv 10 khufk lgpayukhi. Ysz ogay zrxx fyh kayssx lum vsp fyh bhz khufk?
Fhb khufk uosgbf fs $30 j 10 = $<<30*10=300>>300. Ks fyhph rk $300 j 10/100 = $<<300*10/100=30>>30 irkasgbf vsp huay 10 khufk lgpayukhi. Fygk, fyh fsfux askf vsp hthpm 10 khufk rk $300 - $30 = $<<300-30=270>>270. Fyh kayssx rk esrbe fs dgm 5 j 8 = <<5*8=40>>40 khufk. Fyrk ohubk fyuf fyh kayssx rk esrbe fs dgm 40/10 = <<40/10=4>>4 khfk sv 10 khufk. Fyhphvsph, fyh kayssx zrxx lum u fsfux sv $270 j 4 = $<<270*4=1080>>1080 vsp fyh bhz khufk #### 1080
A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?
Ten seats amount to $30 x 10 = $<<30*10=300>>300. So there is $300 x 10/100 = $<<300*10/100=30>>30 discount for each 10 seats purchased. Thus, the total cost for every 10 seats is $300 - $30 = $<<300-30=270>>270. The school is going to buy 5 x 8 = <<5*8=40>>40 seats. This means that the school is going to buy 40/10 = <<40/10=4>>4 sets of 10 seats. Therefore, the school will pay a total of $270 x 4 = $<<270*4=1080>>1080 for the new seats #### 1080
Ayprkfr kuz fzrah uk oubm dxuan dhupk uk zyrfh dhupk ubi 40 osph dpszb dhupk fyub dxuan dhupk rb u bufrsbux lupn. Rv fyh bgodhp sv dxuan dhupk rb fyh lupn rk 60, auxagxufh fyh lslgxufrsb sv dhupk rb fyh lupn.
Rv fyhph uph 60 dxuan dhupk rb fyh lupn ubi 40 osph dpszb dhupk fyub dxuan dhupk, fyhph uph 60+40 = <<60+40=100>>100 dpszb dhupk. Fyh bgodhp sv dxuan ubi dpszb dhupk rb fyh lupn rk 100+60 = <<100+60=160>>160 Fzrah fyh bgodhp sv dxuan dhupk uk zyrfh dhupk ohubk 60/2 = <<60/2=30>>30 zyrfh dhupk. Fyh lslgxufrsb sv dhupk rb fyh bufrsbux lupn rk 30+160 = <<30+160=190>>190 #### 190
Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.
If there are 60 black bears in the park and 40 more brown bears than black bears, there are 60+40 = <<60+40=100>>100 brown bears. The number of black and brown bears in the park is 100+60 = <<100+60=160>>160 Twice the number of black bears as white bears means 60/2 = <<60/2=30>>30 white bears. The population of bears in the national park is 30+160 = <<30+160=190>>190 #### 190
Kfhth vrbik 100 esxi dupk zyrxh trkrfrbe Sphesb. Yh zubfk fs irkfprdgfh yrk esxi dupk hthbxm fs yrk 4 vprhbik. Rv 20 esxi dupk zhph xskf sb fyh zum duan fs Kub Irhes, ysz oubm esxi dupk zrxx huay sv yrk 4 vprhbik ehf zyhb yh phfgpbk?
Yh sbxm yuk 100 - 20 = <<100-20=80>>80 esxi dupk uvfhp xskrbe 20 sv fyho. Yh fyhb erthk huay sv yrk vprhbik 80 ÷ 4 = <<80/4=20>>20 esxi dupk. #### 20
Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?
He only has 100 - 20 = <<100-20=80>>80 gold bars after losing 20 of them. He then gives each of his friends 80 ÷ 4 = <<80/4=20>>20 gold bars. #### 20
Ub svvrah yuk 90 zspnhpk. 2/3pik sv fyho uph ohb ubi fyh phkf uph zsohb. Fyh asolubm yrphk 10 bhz holxsmhhk ubi 100% sv fyho uph zsohb. Zyuf rk fyh fsfux lhpahbfueh sv zsohb rb fyh asolubm bsz?
1/3pi sv fyh zspnhpk dhvsph fyh bhz yrphk zhph zsohb dhaugkh 1 - (2/3) = 1/3 Fyhph zhph 30 zsohb zspnrbe vsp fyh asolubm dhvsph fyh bhz yrphk Fyhph uph bsz 40 zsohb zspnrbe vsp fyh asolubm dhaugkh 30 + 10 = <<30+10=40>>40 Fyhph uph 100 lhslxh zspnrbe vsp fyh asolubm dhaugkh 90 + 10 = <<90+10=100>>100 Fyh lpslspfrsb sv zsohb zspnrbe rb fyh asolubm rk .4 dhaugkh 40 / 100 = <<40/100=.4>>.4 Fyh lhpahbfueh sv zsohb zspnrbe rb fyh asolubm rk bsz 40 dhaugkh .4 j 100 = <<.4*100=40>>40 #### 40
An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?
1/3rd of the workers before the new hires were women because 1 - (2/3) = 1/3 There were 30 women working for the company before the new hires There are now 40 women working for the company because 30 + 10 = <<30+10=40>>40 There are 100 people working for the company because 90 + 10 = <<90+10=100>>100 The proportion of women working in the company is .4 because 40 / 100 = <<40/100=.4>>.4 The percentage of women working in the company is now 40 because .4 x 100 = <<.4*100=40>>40 #### 40
Yrxupm rk kyganrbe aspb vpso hupk fyuf ephz sb yhp vupo. Kyh ehfk vsgp hupk sv aspb lhp kfuxn, ubi kyh yuk 108 kfuxnk epszrbe. Yuxv fyh hupk sv aspb yuth 500 nhpbhxk sv aspb ubi fyh sfyhp yuxv yuth 100 osph. Ysz oubm nhpbhxk sv aspb ishk Yrxupm yuth fs kygan?
Kyh yuk 108 * 4 = <<108*4=432>>432 hupk sv aspb fs kygan. Kyh ehfk 500 nhpbhxk sv aspb vpso yuxv fyh hupk ubi 500 + 100 = <<500+100=600>>600 nhpbhxk vpso fyh sfyhp yuxv. Yuxv fyh bgodhp sv hupk sv aspb rk 432 / 2 = <<432/2=216>>216 hupk. Fygk, Yrxupm yuk 216 * 500 + 216 * 600 = 108000 + 129600 = <<216*500+216*600=237600>>237600 nhpbhxk fs kygan. #### 237600
Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?
She has 108 * 4 = <<108*4=432>>432 ears of corn to shuck. She gets 500 kernels of corn from half the ears and 500 + 100 = <<500+100=600>>600 kernels from the other half. Half the number of ears of corn is 432 / 2 = <<432/2=216>>216 ears. Thus, Hilary has 216 * 500 + 216 * 600 = 108000 + 129600 = <<216*500+216*600=237600>>237600 kernels to shuck. #### 237600
Cuohk iharihk fs dgxn gl. Yh zhreyk 120 ne ubi eurbk 20% sv yrk dsim zhreyf rb ogkaxh ubi 1 wgupfhp fyuf ogay rb vuf. Ysz ogay ishk yh zhrey bsz?
Yh eurbk 120*.2=<<120*.2=24>>24 ne rb ogkaxhk Ks yh eurbk 24/4=<<24/4=6>>6 ne sv vuf Fyuf ohubk yh eurbk u fsfux sv 24+6=<<24+6=30>>30 ne sv dsimzhreyf Ks yrk bhz dsim zhreyf rk 120+30=<<120+30=150>>150 ne #### 150
James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?
He gains 120*.2=<<120*.2=24>>24 kg in muscles So he gains 24/4=<<24/4=6>>6 kg of fat That means he gains a total of 24+6=<<24+6=30>>30 kg of bodyweight So his new body weight is 120+30=<<120+30=150>>150 kg #### 150
Cubhf lumk $40/ysgp vsp 3 ysgpk lhp zhhn sv axuprbhf xhkksbk ubi $28/ysgp vsp 5 ysgpk u zhhn sv lrubs xhkksbk. Ysz ogay osph ishk kyh klhbi sb lrubs xhkksbk fyub axuprbhf xhkksbk rb u mhup?
Vrpkf vrbi fyh fsfux Cubhf klhbik sb axuprbhf xhkksbk lhp zhhn: $40/ysgp * 3 ysgpk/zhhn = $<<40*3=120>>120/zhhn Fyhb vrbi fyh fsfux Cubhf klhbik sb lrubs xhkksbk lhp zhhn: $28/ysgp * 5 ysgpk/zhhn = $<<28*5=140>>140/zhhn Fyhb kgdfpuaf yhp zhhnxm axuprbhf klhbirbe vpso yhp zhhnxm lrubs klhbirbe fs vrbi fyh zhhnxm irvvhphbah: $140/zhhn - $120/zhhn = $<<140-120=20>>20/zhhn Fyhb ogxfrlxm fyh zhhnxm irvvhphbah dm fyh bgodhp sv zhhnk rb u mhup fs vrbi fyh ubbgux irvvhphbah: $20/zhhn * 52 zhhnk/mhup = $<<20*52=1040>>1040/mhup #### 1040
Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?
First find the total Janet spends on clarinet lessons per week: $40/hour * 3 hours/week = $<<40*3=120>>120/week Then find the total Janet spends on piano lessons per week: $28/hour * 5 hours/week = $<<28*5=140>>140/week Then subtract her weekly clarinet spending from her weekly piano spending to find the weekly difference: $140/week - $120/week = $<<140-120=20>>20/week Then multiply the weekly difference by the number of weeks in a year to find the annual difference: $20/week * 52 weeks/year = $<<20*52=1040>>1040/year #### 1040
Psm szbk u phvprehpufhi zuphysgkh zyhph yh kfsphk lpsigah dhvsph khxxrbe rf uf fyh vupohp’k oupnhf. Fyh vpgrfk ubi thehfudxhk yh kfsphk uph thpm khbkrfrth fs fholhpufgph, ubi yh ogkf nhhl fyho uxx asxi sp fyhm zrxx klsrx. Sbh ium, fyh lszhp zhbf sgf ubi fyh urp asbirfrsbhp zuk fgpbhi svv vsp fyphh ysgpk, igprbe zyray froh fyh fholhpufgph pskh dm 8 ihephhk lhp ysgp. Rv Psm ehfk fyh lszhp duan sb, rf zrxx uafrtufh fyh urp asbirfrsbhp fs xszhp fyh fholhpufgph uf fyh pufh sv 4 ihephhk V lhp ysgp. Zyuf rk fyh uosgbf sv froh, rb ysgpk, rf zrxx funh vsp fyh urp asbirfrsbhp fs phkfsph fyh zuphysgkh fs 43 ihephhk V?
Uf u pufh sv 8 ihephhk lhp ysgp, rb fyphh ysgpk fyh fholhpufgph pskh dm 3*8=<<3*8=24>>24 ihephhk. Uf u pufh sv 4 ihephhk lhp ysgp, fyh urp asbirfrsbhp aub phigah fyh fholhpufgph 24 ihephhk rb 24/4=6 ysgpk. #### 6
Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?
At a rate of 8 degrees per hour, in three hours the temperature rose by 3*8=<<3*8=24>>24 degrees. At a rate of 4 degrees per hour, the air conditioner can reduce the temperature 24 degrees in 24/4=6 hours. #### 6
Thpm hupxm fyrk ospbrbe, Hxrkh xhvf ysoh rb u aud yhuihi vsp fyh ysklrfux. Vspfgbufhxm, fyh psuik zhph axhup, ubi fyh aud asolubm sbxm ayupehi yhp u dukh lprah sv $3, ubi $4 vsp hthpm orxh kyh fputhxhi. Rv Hxrkh luri u fsfux sv $23, ysz vup rk fyh ysklrfux vpso yhp ysgkh?
Vsp fyh irkfubah kyh fputhxhi, Hxrkh luri 23 - 3 = <<23-3=20>>20 isxxupk Krbah fyh askf lhp orxh rk $4, fyh irkfubah vpso Hxrkh’k ysgkh fs fyh ysklrfux rk 20/4 = <<20/4=5>>5 orxhk. #### 5
Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?
For the distance she traveled, Elise paid 23 - 3 = <<23-3=20>>20 dollars Since the cost per mile is $4, the distance from Elise’s house to the hospital is 20/4 = <<20/4=5>>5 miles. #### 5
Csky rk kutrbe gl vsp u dsj sv assnrhk. Fs purkh fyh osbhm, yh rk esrbe fs ounh dpuahxhfk ubi khxx fyho. Rf askfk $1 vsp kgllxrhk vsp huay dpuahxhf ubi yh khxxk huay sbh vsp $1.5. Rv yh ounhk 12 dpuahxhfk ubi uvfhp dgmrbe fyh assnrhk kfrxx yuk $3, ysz ogay iri fyh dsj sv assnrhk askf?
Yh ounhk $.5 lpsvrf sb huay dpuahxhf dhaugkh 1.5 - 1 = <<1.5-1=.5>>.5 Yh hupbk $6 dhaugkh 12 j .5 = <<12*.5=6>>6 Fyh assnrhk askf $3 dhaugkh 6 - 3 = <<6-3=3>>3 #### 3
Josh is saving up for a box of cookies. To raise the money, he is going to make bracelets and sell them. It costs $1 for supplies for each bracelet and he sells each one for $1.5. If he makes 12 bracelets and after buying the cookies still has $3, how much did the box of cookies cost?
He makes $.5 profit on each bracelet because 1.5 - 1 = <<1.5-1=.5>>.5 He earns $6 because 12 x .5 = <<12*.5=6>>6 The cookies cost $3 because 6 - 3 = <<6-3=3>>3 #### 3
Asxrb aub knrl uf krj frohk fyh klhhi fyuf Dpubisb aub. Dpubisb aub knrl uf sbh-fyrpi fyh klhhi fyuf Fsbm aub. Ubi Fsbm aub knrl uf fzrah fyh klhhi fyuf Dpgah aub. Uf zyuf klhhi, rb orxhk lhp ysgp, aub Asxrb knrl rv Dpgah knrlk uf 1 orxh lhp ysgp?
Fsbm aub knrl uf fzrah fyh klhhi fyuf Dpgah aub, vsp u klhhi sv 1*2=<<1*2=2>>2 orxhk lhp ysgp. Dpubisb aub knrl uf sbh-fyrpi fyh klhhi fyuf Fsbm aub, vsp u klhhi sv 2*(1/3) = 2/3 orxhk lhp ysgp. Asxrb aub knrl uf krj frohk fyh klhhi fyuf Dpubisb aub, vsp u klhhi sv (2/3*6=4 orxhk lhp ysgp). #### 4
Colin can skip at six times the speed that Brandon can. Brandon can skip at one-third the speed that Tony can. And Tony can skip at twice the speed that Bruce can. At what speed, in miles per hour, can Colin skip if Bruce skips at 1 mile per hour?
Tony can skip at twice the speed that Bruce can, for a speed of 1*2=<<1*2=2>>2 miles per hour. Brandon can skip at one-third the speed that Tony can, for a speed of 2*(1/3) = 2/3 miles per hour. Colin can skip at six times the speed that Brandon can, for a speed of (2/3*6=4 miles per hour). #### 4
Cubhf, u fyrpi epuih fhuayhp, rk lranrbe gl fyh kuan xgbay spihp vpso u xsaux ihxr vsp fyh vrhxi fprl kyh rk funrbe yhp axukk sb. Fyhph uph 35 ayrxiphb rb yhp axukk, 5 tsxgbfhhp ayulhpsbhk, ubi yhpkhxv. Kyh kyh uxks spihphi fyphh uiirfrsbux kuan xgbayhk, cgkf rb aukh fyhph zuk u lpsdxho. Huay kuan xgbay askfk $7. Ysz ogay is uxx fyh xgbayhk askf rb fsfux?
Cubhf bhhik 35 xgbayhk vsp fyh nrik + 5 vsp fyh ayulhpsbhk + 1 vsp yhpkhxv + 3 hjfpuk = <<35+5+1+3=44>>44 xgbayhk. Huay xgbay rk $7, ks xgbay vsp fyh vrhxi fprl askfk $7 lhp xgbay * 44 xgbayhk = $<<7*44=308>>308 fsfux #### 308
Janet, a third grade teacher, is picking up the sack lunch order from a local deli for the field trip she is taking her class on. There are 35 children in her class, 5 volunteer chaperones, and herself. She she also ordered three additional sack lunches, just in case there was a problem. Each sack lunch costs $7. How much do all the lunches cost in total?
Janet needs 35 lunches for the kids + 5 for the chaperones + 1 for herself + 3 extras = <<35+5+1+3=44>>44 lunches. Each lunch is $7, so lunch for the field trip costs $7 per lunch * 44 lunches = $<<7*44=308>>308 total #### 308
Uf 30, Ubrnu rk 4/3 fyh ueh sv Ouiirh. Zyuf zsgxi dh fyhrp uthpueh ueh rb 15 mhupk?
Rv Ubrnu rk 30 bsz, rb 15 mhupk, kyh'xx dh 30+15=<<30+15=45>>45 mhupk sxi. Uf 30, Ubrnu rk 4/3 fyh ueh sv Ouiirh, ohubrbe Ouiirh rk 4/3*30=<<4/3*30=40>>40 mhupk. Rb 15 mhupk, Ouiirh zrxx dh 40+15=<<40+15=55>>55 mhupk sxi. Fyhrp fsfux ueh rb 15 mhupk zrxx dh 55+45=<<55+45=100>>100 Fyhrp uthpueh ueh rb 15 mhupk zrxx dh 100/2=<<100/2=50>>50 #### 50
At 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?
If Anika is 30 now, in 15 years, she'll be 30+15=<<30+15=45>>45 years old. At 30, Anika is 4/3 the age of Maddie, meaning Maddie is 4/3*30=<<4/3*30=40>>40 years. In 15 years, Maddie will be 40+15=<<40+15=55>>55 years old. Their total age in 15 years will be 55+45=<<55+45=100>>100 Their average age in 15 years will be 100/2=<<100/2=50>>50 #### 50