The nut shoppe has 10kg of mixed cashews and pecans, which sell for $8.40 per kilogram. Cashews alone sell for $8 per kilogram, and pecans sell for $9 per kilogram. How many kilograms of each are in the mix?\n\nI need the answer and the work for it. Thanks
126545
x = kg of cashews\ny = kg of pecans\n\nThe bag is 10kg, so x + y = 10.\nThe total cost of the bag is $84.00, so 8x + 9y = 84.\nBut you know x = 10-y from equation 1, above.  Make that substitution into equation 2.\n\nNow:\n8(10-y) + 9y = 84.\n80 - 8y + 9y = 84\n80 + y = 84\ny = 4\n\nSince x + y = 10, x must be 6.\n\nCheck:\n6 * $8.00 + 4 * $9.00 =\n48.00 + 36.00 =\n$84.00\nCorrect.
350041
I can be expensive, depending on how much you want.  It usually runs about 2.3-2.4g/dollar.  The problem is most companies only sell it in bulk quantities.  You're looking at close to $200 for a bulk purchase of 450g.  It's not worth it.
400963
2000 pounds Is A Ton\n\n5533 pounds Is More Than 2.5  Tons (By 533 Pounds)\n\nA Bale (Of Hay) Weighs About 80 pounds\n(Similar Weight To Marijuana)\n\nBy My Calculation, 70 Bales\n\n\n\n\n\n\nthe bad seed's Estimates Are Correct Also\nThe Amount "Bale" Is A Variable In The Equation\nA "Bale" Can Be Different Sizes And Weights\nDepending On The Application\n(40, 60, 80, 120 Pounds)\n\nA Grower / Shipper From South America \nWill Tend To Package Heavier\nTo Ship Less Pieces (Of Freight) A Farther Distance\n\nA Mexican Grower / Shipper \nWill Tend To Package More Pieces (Of Freight), \nSmaller And Lighter \nFor Faster, More Convenient Smuggling \nOver Shorter Distances
247697
The total of what? If you're wondering the cost of each type of onion per pound, here's how you do it:\n\nTotal $ spent: $7.08\nYellow onion: 4 pounds, each pound costs $X\nRed onion: 4 pounds, each pound costs $X + .05\nMake an equation - \nTotal money spent equals number of pounds of yellow times cost of yellow plus number of pounds of red times cost of red:\n7.08 = 4(X) + 4(X + 0.05)\nSolve:\n7.08 = 8X + 0.2\n8X = 6.88\nX = .86\nThe cost of red was $X, so red onions are $0.86 per pound.\nThe cost of yellow was $X + 0.05, so yellow onions are $0.91 per pound.\n\nDoes that help?
265548
Am I more than you expected me to be?\n\n\nLike when you buy a bag of candy, it is $1 and should have 10 pieces in it.  But when you open the bag, you find there are 15 pieces.
245994
This is an organic chemistry question?  This is general physical science, and easy general science at that!!\n\nYou have 30 drums (I assume they're all full) of identical volume 1.62E6 liters, for a total volume of:\n\n30 * 1.62E6 liters = 4.86E7 liters * 1000mL/L = 4.86E10 mL\n\nbut one mL = one cm3, so you have 4.86E10 cm3\n\n2.25E8 kg = 2.25E11 grams, so\n\n2.25E11 grams/4.86E10 cm3 = 4.63 gram/cm3
314764
Let x and y be the weight of the two coffee bean types in pounds.  You basically have two equations to set up - one expressing how much coffee is in a 100 lb bag and one expressing how much per pound the mixture will cost.\n\nx + y = 100\n(9x + 12y)/100 = 11.25\n\nIt's a system of equations, so you can solve by either substitution or through addition.  Substitution is probably easier for us here:\n\nx + y = 100\ny = 100 - x\n\n(9x + 12y)/100 = 11.25\n9x + 12y = 1125\n9x + 12(100 - x) = 1125\n9x + 1200 - 12x = 1125\n3x = 75\nx = 25\n\nThen\ny = 100 - x\n= 100 - 25\n= 75\n\nSo, use 25 pounds of the $9/lb coffee and 75 of the $12/lb coffee for the mixture.  To check,\n\n(($9/lb)(25 lb) + ($12/lb)($75 lb)/100 = ($225 + $900)/100\n= $1125/100\n= $11.25
478958
This is set up just like the buttermilk question that you asked earlier.\n\np is the amount of peanuts\nr is the amount of raisins\n\np + r = 3 pounds\n\n2p + 3.5r = 3(3)\n\nNow solve using substitution or elimination.\n\nHope this helps.  Next time try setting it up and asking us if you have the equations set up correctly.  :)
437342
the item that 2 sell for 66\ndivide 66 by 2 you get 33\n33x5 = 165 \n5 items sell for 165cents\n\nhalf of 1.98 is 99\n\n4.60 divided by 4 is\n1.15\n\n4.80 divided by 100 will give you 1%\nthen multiply by 5 to get 5%\n0.24 is 5% add this to 4.80\n$5.04
245759
let us take each lobe as 3kgs(assumption) then they will have 24kgs of lobe. that is each get 8 kgs...so the person with  3 lobes will have 9kgs and other 15kgs. so 3 lobe will give 1 kg to the hunter and 5 lobe fellow will give 7kg to the hunter. so if each kg costs 1 bronze coin.they will divide 1:7. Are you clear?\n\nBut i missed all your other questions gal!!!!!!!! waht you have done...explaining this i missed all other questions.\n\nis the previous one right?\n\nBut i wont be the first to answer them.....
511272
Well, you already have the answer several times (and once with kg and lb mixed up). But, you can ask google these questions and it will answer them directly (ie. won't search the web, will just tell you). See the link below.
605859
All in all, the three guys spent 10 dollars (-10) and got a dollar back (+1), making their loss 9 dollars each (-9).  \nSo in total, their loss is: 3 * -9 = -27\n\nThe lodge gained 30 dollars, and gave back five dollars. (30-5 = 25).\n\nThe bellhop gained 2 dollars (+2).\n\nSo, if everything is balanced in terms of gains and losses, -27 + 25 + 2 = 0.  Thus, there is no "other dollar", that was just a trick (the purpose of the story problem).  The wording of the problem led me to think about it in an incorrect manner, initially... which is the point!\n\n--- edit ---\nHah, I opened this screen up to answer the question, then did some office work before typing the answer, and by the time I posted, someone had already put the correct answer, which I didn't realize when I posted... hah.
236237
i assume you want a demonstration of the use of numbers and math in daily life... try these\n\n1. suppose brand a of candy sells for 2.37 for an 8 oz bag and brand b sells for 3.05 for a 11 oz bag ask audience which is a better deal ?, why ?, how can we compare the 2 brands to get a definite answer ? Now you introduce the idea of unit price which is $amount/weight do this for each brand. The smaller value for the two brands is the better unit price or the better deal.\n\nfind three different size circles. measure for each one the distance around the circle and the distance across the center of it write these values down for each circle.  Now for each pair of measurements divide the around value by the across value. ask the audience to compare the three quotients and note anything unusual.  what will happen is that no matter the size of the circle distance around/distance across is the same value about 3.14159. now state that pi is the ratio of dist. around / dist. across for a circle and is the same regardless of size of circle
264094
Let's visualise these by size, Water Melons cost 40 schillings, apples cost 10 schillings and cherries cost 1 schilling each.\n\nSuppose our Austrian fruit and veg merchant buys 100 cherries at 1 schilling each, he spends 100 schillings. For the bigger fruit he puts a cherry back on the stall and takes a water melon instead for 39 further schillings, or ditto an apple for 9 further schillings.\n\nSo we ask "is 39 a factor of 159 (259 - 100)?" and "is 9 a factor of 159?" and the answer is No as 159 is prime. So we have to rule out solutions that involve buying no water melons and solutions that involved buying no apples.\n\nWe notice that 4 water melons is the maximum as 4 x 39 = 156 and more than that would burst the budget.\n\n1 water melon would mean 120 schillings for apples but 120 (modulo 9) = 3\n\n3 water melons would mean 42 schillings for apples but 42 (modulo 9) = 6\n\n2 water melons would mean 81 schillings for apples and 81 (modulo 9) = 0 (it is 9 squared)\n\nSo clearly the answer is 2 water melons, 9 apples and 89 cherries remain having swopped 11 pf them for larger items of fruit.
93094
Actually I had something to help you but x=0 which makes it pretty difficult.\n\nI guess you could try to talk about tomatoes or something.  Say Tom (X) has 1/2 the amount of tomatoes that Jill has, plus four.  Or in other words, if you take Jill's amount of tomatoes, multiply it by two, and take Tom's amount and multiply it by three, there total amount of tomatoes will equal 12.  How many tomatoes does Jill have?  How many does Tom have?
287370
* Chips (Lays) 50g : $1.00\n*2 Litres of Pepsi or CocaCola : $1.25\n*Chocolat Twix-Mars : $0.85\n*Sardines Fish: $1.25\n*Marlboro(20 cigarettes) : $2.50 \nUnited States Dollars
65060
I say the consumer's tax is $.50 because they are paying $.50 more than usual.  By the same token the supplier's tax is $1.50, they are receiving that much less than usual.  Which makes the total tax $2.00, which is OUTRAGEOUS :)