Ok. Here is a wierd and tricky situation.\nPerson A, B and C each give Person D $10 (a total of $30). Person D spends $25 and has $5 remaining. From that $5, Person D gives $1 to A, another to B and another to C ($2 remaining is kept by person D). Now Giving back $1 to each means that A, B, and C spent $9 each. 9+9+9+($2 kept by D)= $29!! where is that $1 !!!!!!
130659
it doesnt matter how much a b and c "spent". they all gave d ten dollars. that equals 30 dollars. person d spends 25 dollars. then he gives 1 dollar back to a b and c. a b and c all have 1 dollar, which equalls 3 total $. person d has $25, plus the 2 he has left=$27, plus the three owned by a b and c=$30.
332880
Uhm you are vague by saying "at least $30". Hence, it is impossible to figure this out. You did not say "exactly $30".
70246
There is no missing dollar. You calculations are deceptive. The manager has his 25, the guys each have one and the bellhop has 2. 25+1+1+1+2=30\nAdide from that the guys haven't paid $9 each, they just think they did. They really paid less, they just didn't get all they deserved back, so in their minds they paid 9 and the manager has the other 3\nSo I'm going to assume the whole point of the (3x9)+2 is to cause confusion and the answer is that is irrelavent because they didnt pay 9 each.
188323
This question is old. If the bill is $25 and they each paid $10 but the clerk returns $1 to each and the bellboy gets the $2 tip there is no lost dollar. It's all in the way the question is presented. \n\n$25/3 = $8.33 1/3 Or 2 people paid $8.33 and the final guy paid $8.34\n\nIn the question the cents get dropped making it seem as though they each paid an even $8 with an extra $1 back.\n\n$8 + $1 = $9. You can see the cents were dropped.\n\nThe other dollar is in the till where it belongs. The bill was $25 NOT $24\n\nEDIT: This is all a question of laziness. The clerk knew 3 guys split the bill. He should have sent up $1.67 cents each for 2 guys and $1.66 for the last. \n\n$1.67 + $1.67 + $1.66 = $5.00\n\nInstead he sent up 5 $1 bills. The guys were too lazy to work out who got what out of the final $2 after taking back a $1 bill each so they let the bellboy keep the $2. \n\n0.67 + 0.67 + 0.66 = $2.00 \n\nA cheap tip for the bellboy when you look at what each one tipped.\n\nTo sum this up\n\nGuy 1 paid\n\n$8.33 (room) + 0.67 (tip) + $1 (returned) = $10.00 \n\nGuy 2 paid\n\n$8.33 (room) + 0.67 (tip) + $1 (returned) = $10.00 \n\nGuy 3 paid\n\n$8.34 (room) + 0.66 (tip) + $1 (returned) = $10.00
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?
232398
There isnt any money missing.  The men paid 30 dollars originally-$10 per person.  When the bellhop returned a dollar to each of them, that means that they paid a total of 27 dollars.  So, the motel got 25 of the dollars, and the bellhop kept 2 dollars.  Thats 27 dollars-nothing is missing.  The problem is that in the question you are adding the 2 dollars the bellhop kept to the 27 dollars the men paid, and that is logically wrong- You add the 2 dollars the bellhop kept to the 25 dollars paid to the motel.\n\nEach man did not pay 8.33-that makes no sense at all.  They each paid 10 dollars and got one back..simple math, they each paid 9 dollars.  Look at it a different way- forget that they paid 30 dollars to begin with, because that doesnt matter.  What they ended up paying is 27 dollars- 25 to the hotel, and 2 to the bellhop.\n*edit* Believe me, this question has been around a loooong time-they didn't each pay $8.33- use your logical mind for a second.  They each paid 10 dollars apiece, and then each got $1 back...how could you possible get to the point that they paid $8.33 from that?? And at any rate, by that illogic, there is still a penny missing.. how could you get a penny missing when the only thing that changed hands were dollars.  They each paid 9 dollars-thats a total paid out of 27 dollars.  25 to the hotel, 2 to the bellhop.  It's easy...don't get trapping the the illogical step of adding the bellhop's $2 to the patrons $27.  The patrons *don't have* 27 dollars, they have exactly $3!!. So, $25 to the hotel, $3 to the guests, and $2 to the bellhop-$30.
209079
It is a matter of wording.\n\nThe bill was $75.  The cashier gave them $5 discount, so now the bill is just $70.  So the waiter gives back $1 each, so everybody paid $24, giving us $72.  $70 of which went to the cashier, and $2 into the waiters pocket!
664
The $2 should be subtracted from the $27, not added to it -- since they were overcharged by $5, the room actually cost $25.\n\nThey ending up paying $27, $25 for the room and $2 to the bellhop. That $27 plus the $3 refund is the original $30
577006
A short mathematical explanation:\n\nAssume you have two negative numbers u,v.  Then there exists two numbers positive number a and b such that u=-a and v=-b. Therefore v+b=0, and u(v+b)=0.\n\nBy the distributive law:\nu(v+b)=uv+ub=uv+(-a)b=uv-ab=0.  Thus uv=ab, and the product of two negative numbers is the product of two positive numbers.\n\nWhy does this make sense in the real world?\n\nAssume that you owe 5 people 5 dollars.  We can consider owing to be a negative number of having, so you have -5 dollars for 5 people or -25 dollars total.\n\nBut if it was only 4 people, you would only have -20 dollars, for 3 it would be -15, for 2 it would be -10, for 1 it would be -5 and for 0 it would be 0.  So, each time you remove a person, you add 5 dollars.  When you have -1 people that you have -5 dollars for (you can also say you have -1 people that you owe 5 dollars to, or there is 1 person that owes you five dollars) you continue to add 5 dollars.  Now you have -1*-5=5, so two negatives multiplied together to make a positive.
323581
3 guys on a road trip go to a hotel and get a room. The clerk says the room is $30.00 so each of the 3 guys gives a $10 bill to the clerk and they go to the room. The Manager realizes the room was only $25.00 and not $30.00 so he tells the bellhop to take the 5 $1.00 bills back to the guys. The bell hop thinks about it and pockets 2 of the 5 ones and gives each of the guys a $1.00 bill. So if each of the 3 guys paid with a $10.00 and got a $1.00 back then they only paid $9.00 each and the bell hop kept $2.00 what happened to the other dollar?
273648
There is no missing dollar.\nThe store has 25, John has 2, each of his friends has 1, that's a total of 30 dollars.\n\nFrom the debit side, John owes his friends $27. He spent $27 of it on the shirt, and has $2 in his hand.
418407
You have to bear in mind that the drinks were not actually $27 dollars, it was $25.  Just because you gave them a dollar each back, they ASSUMED it was $27.\nEven though they had paid $27, you still had to pay their bill of $25 which would leave you the $2.....\nthe missing $1, is therefore, not a missing dollar....!
38297
It's a win-win situation for me. If I give the person $2, he'll give me $3. But, if I keep my $2, he'll give, me $1. So I get $3 dollars either way.
552029
1. Bob's favorite ice cream used to cost $1.50.... Then the price was raised to $1.75. Find the percent increase.\n(175/150)-1)*100%=16 2/3% increase\n\n2. Jenny paid $12,000 for her car. Five yrs later she sold it for $8500. What percent decrease was this?\n(8500/12000-1)*100%= -29 1/6% 29 1/6% decrease\n\n3. The Music Box marked up their CD's 75%. If the music box charges $20 for a special cd, how much did it cost before the mark-up? (hint: the answer is not $15)\n$20=1.75x\nx=20/1.75=$11.43\n\n4. Quinn deposits $2000 in a savings account that pays 4% compounded semi-annuallly. HOw much money will Quinn have in her account after two years? Give the expression. (you do not have to simplify) \n\n$2000(1.02)^4=$2164.86
135128
This is not really a Math question. It's more of a logic question. Think of it this way: The three soldiers had given out 15 dollars. The manager kept 10 dollars, the bell boy kept 2 dollars, and the soldiers got 3 dollars back. Nothing is missing.\n\nThe way in which the question counts the total number of dollars is wrong. Yes, each soldiers only had to pay $4. That's a total of $12. Think about it. These $12 included the $2 that's secretly kept by the bell boy already (Again, $10 to the manager/hotel, $2 to the bell boy). Why count that again? The question is trying to fool you.\n\nThe correct way to count is: 15 dollars were circulating in this whole story. The soldiers paid out $12 and got $3 back. See? There's no missing dollar!\n\nIf you're still a little confused, draw a diagram. It helps.
636628
they spent $25 for room $2 for tip = $27, each man spent $9 for the room or $27.\n\nThe problem is you add the $2 tip again and expect to get $30 which is wrong. Remember each man took $1 so you add $3 to get $30.  No missing money
612376
each person gets $1 back, so that means  25 + 3 = $28\nand the bellhop keeps $2, and thats $30