3 men went to a hotel to rent a room, the cost of the room was $30. Each man paid $10 to the bellboy and proceeded to there room. After a little while the bellboy realized that there was a special on rooms that night and the price for the mens room should have been $25. On his way to the mens room to give them back $5 he was puzzled how he was going to split $5 as he had no change. He decided he would give them each $1 and keep the remaining $2 for himself. So each man originally paid $10, but after the bellboy gave each man $1 back, each man paid $9. 9 x 3 = $27 plus the $2 the bellboy put in his pocket equals $29. The original price for the room was $30. Where did the last dollar go?
2006-08-01
19:46:54
·
20 answers
·
asked by
Jay S
1
in
Science & Mathematics
➔ Mathematics
In the end each man paid $9, and the bellboy kept $2
I know you can reverse the problem and add the 25 with the 3 the men were refunded and the 2 the bellboy kept.
There is a reason why the problem comes up 1 dollar short and its not because you counted the $2 twice.
2006-08-01
20:05:46 ·
update #1
should not add $2 to the $27. the $2 was meant as a refund, thus should be $27-2=$25.
2006-08-01 19:55:43
·
answer #1
·
answered by Prince 1
·
2⤊
0⤋
Hard Math Word Problems
2016-12-11 13:51:35
·
answer #2
·
answered by Anonymous
·
0⤊
0⤋
The problem lies in how you are calculating the math. Look at it this way:
Each man pays 10.00 (10+10+10)
The bell boy REFUNDS $5.00 (1+1+1+2)
10+10+10-1-1-1-2 = 25
There really is no missing dollar. The trick is: You are subtracting $1 (3) times then adding $2, which equals $29. In reality, you need to be SUBTRACTING the 2! The $5 was a refund, therefore you should be subtracting ALL $5. So the problem should say: The bell boy gave each man $1.00 back, so each man paid $9.00. 9*3 = 27. Then he gave himself a $2 tip. 27-2 = $25.00, which is the cost of the room.
2006-08-01 20:20:59
·
answer #3
·
answered by GDC 1
·
1⤊
0⤋
This is a trick question. The bellboy gave each man back $1, and since he had $30 originally, the bellboy was left with $27. If he then pocketed an extra $2, you would SUBTRACT the $2 from $27 to get $25, which was the actual price of the room. So the dishonest bellboy gets $2, the hotel gets $25.
The question is telling you to add $2 to $27, which makes no sense because you are counting the leftover $2 twice.
2006-08-01 19:58:22
·
answer #4
·
answered by Lori 3
·
1⤊
0⤋
The men originally $30, but they were supposed to get back $5 as the cost for the room was $25. They did not get back $5, they got back $3. So, in total they paid $27 as $30 - $3 = $27. So yes, $27 / 3 = $9 and so each man did pay $9! Where is the problem? They got back the $3 dollars didn't they?
2006-08-01 21:15:03
·
answer #5
·
answered by Iluvharrypotter_tonima 2
·
0⤊
0⤋
Cost of the room is $30
Each man pays £10
Bellboy claims $2
and returns $1 each
You are having us do the wrong sum at the end.
The room cost $25
to get it up to $28 you add on the $3 returned ($1 to each man)
then to get it to $30 you add the $2 the Bellboy claimed.
So there is no missing money
2006-08-01 20:08:52
·
answer #6
·
answered by Anonymous
·
1⤊
0⤋
For the best answers, search on this site https://shorturl.im/axfba
I happen to have a great calculus teacher. He explained a derivative using the limit definition and a graph one day, and it took a few weeks but one day it just clicked in my head. I'll try to explain it now. Recall the limit definition. lim --->0 f(x+Δx)-f(x) / Δx Δx You can recognize this as the slope formula. y2-y1 /x2-x1 The Δx means the change in x. To find the change you subtract what you end with from what you started with. f(x) is a y value. and f(x+ Δx) is the second y value. So basically as the change in x becomes infinitely small, what is the y value, or the instantaneous rate of change. I hope that helps. As for why you aren't getting it, it's either a bad teacher, or maybe you just aren't a math person. But I think that you should just work on more story problems to help you out, it's the best way to learn.
2016-04-04 07:36:53
·
answer #7
·
answered by Anonymous
·
0⤊
0⤋
Hard Word Problems
2016-10-31 00:51:47
·
answer #8
·
answered by Anonymous
·
0⤊
0⤋
this is a simple question
each of them gave $10 first
again the belly boy boy gave them $1 each
so out of 30 they gave they have recieved $3 ,now the total is 3 out of 5 ,2$ is within belly boy so total =5+25=30,
u are saying that each men recieved $1 each so they have paid each $9 since 9*3=27. remaining $1 is gone , its a riddle in mathematics simply as that.there is no one $ gone any where
this is so simple ?y?yeeeeeeh, your asking is different of course its a puzzle such that people can think and think a lot ,just mad?
2006-08-01 20:16:37
·
answer #9
·
answered by mailme m 1
·
0⤊
0⤋
Hope this helps!
2016-06-24 20:46:06
·
answer #10
·
answered by ? 5
·
0⤊
0⤋