Three people check into hotel. They pay manager $30 and go to their room. Manager finds out that room rate is $25 and gives $5 to the bellboy to return. On the way to the room the bellboy reasons that $5 would be difficult to share among three people so he pockets $2 and gives $1 to each person. Now each person paid $10 and got back $1. So they each paid $9, totalling $27. The bellboy has $2, totalling $29.
Where is the remaining dollar?
2007-05-17 16:35:33 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Okay.
The room cost $25.
The men got $3 back.
The bellboy kept $2
25+3+2 = 30
Where is the missing dollar? There is no missing dollar!
There error comes in when you add $2 to $27.
The men actually paid $25 for the room.
27 - 2 = 25
2007-05-17 16:41:07 · answer #1 · answered by MsMath 7 · 4⤊ 0⤋
This is a very very old tricky sort of question but the only disappointing thing is that there is no trick in it.
Just add up the amount $25 towards the rent of the room,$2 pocketted by the bellboy and $3 recd. back by the three persons.It adds up to $30.Where do you get the missing dollar?
Now let us tackle the problem in another way.If the persons were returned $3 by the bellboy,they naturally thought that the rent of the room was $27,and hence each of them had to pay$9
Again,instead of the bellboy pocketting the $2 himself,if the three persons would have have tipped him the same amount,they would have spent $25+$2 or $27.They got back $3.and the total makes a perfect $30.
2007-05-17 23:46:55 · answer #2 · answered by alpha 7 · 3⤊ 0⤋
This is a variation of a "puzzle" that has appeared on Yahoo Answers before. What do you mean "Totaling $29"? What totaled $29? The room cost $25, not $27! The amount paid by the 3 guests is still only $25. They each got $1 back and the bellhop got $2 of the extra $5. The out-of-pocket amount each guest effectively paid has nothing to do with the "total" of $29. If the three guests could be given equal amounts of 1 and 2/3 (or 5/3) dollars, there would be no "puzzle"! The total out-of-pocket amount each guest effectively paid would then be $8 and 1/3.
2007-05-18 00:00:56 · answer #3 · answered by David A 7 · 2⤊ 0⤋
A trick of misdirection this problem is.
First of all, the room was $25, so the $9 each for $27 was $2 too much, which the bellboy pocketed.
2007-05-17 23:47:43 · answer #4 · answered by jenrobrody 2 · 3⤊ 0⤋
The correct addition is
3 x $9 + $1 + $1 + $1 = $ 30
or
$25 + $2 + $1 + $1 + $1=$ 30
2007-05-18 00:09:40 · answer #5 · answered by Gerico 3 · 1⤊ 0⤋
the room rate was $25 which if divided by 3 $1 will remain as the odd.i.e,two paid $9 each and one paid $10
and the rest total spend was 29
therefore the $1 left is for the room rate.
2007-05-17 23:44:39 · answer #6 · answered by priya 2 · 0⤊ 2⤋