# 1 dollar

O Artem O
Posers and Puzzles 11 Mar '09 18:47
1. O Artem O
ParTizan
11 Mar '09 18:47
this was probably posted here before but reading a book and read it

Three travelers came to a motel and decided to share one room. The clerk registered them for \$30. Each of the travelers pitched in \$10. After a bit, the clerk realized that the special rate for that day was \$25, so he gave the bellhop \$5 and told him to take it to the travelers. On his way to the room, the bellhop reasoned that he couldn't split \$5 three ways, so he'd just return \$3 to the travelers and keep the other \$2.

Therefore, each of the travelers wound up paying \$9 for his room. Since 9 X 3 is 27, and the bellhop kept \$2, what happened to the other dollar (27 + 2 = 29)?
2. 11 Mar '09 19:23
Originally posted by O Artem O
this was probably posted here before but reading a book and read it

Three travelers came to a motel and decided to share one room. The clerk registered them for \$30. Each of the travelers pitched in \$10. After a bit, the clerk realized that the special rate for that day was \$25, so he gave the bellhop \$5 and told him to take it to the travelers. On his ...[text shortened]... . Since 9 X 3 is 27, and the bellhop kept \$2, what happened to the other dollar (27 + 2 = 29)?
The travelers paid \$9,- each. (\$9*3=\$27)
The clerk gets \$25,- and the bellshop \$2,- (\$25+\$2=\$27)
3. 12 Mar '09 01:12
Thomaster stated it quite concisely and clearly.

The guests paid \$27, of which the bellhop kept \$2.
The remaining \$3 is in the pockets of the guests, totalling \$30.

The important thing is to keep a very clear and systematic frame of reference in your accounting, or else you'll get confused by shifting reference in the middle of counting.
4. TheMaster37
Kupikupopo!
12 Mar '09 07:25
Originally posted by geepamoogle
Thomaster stated it quite concisely and clearly.

The important thing is to keep a very clear and systematic frame of reference in your accounting.
Common sense is more like it.

The \$27 INcludes the \$2.

It would be nonsense to add the \$2 to the \$27 to calculate expenses.
5. 12 Mar '09 07:39
Originally posted by TheMaster37
Common sense is more like it.

The \$27 INcludes the \$2.

It would be nonsense to add the \$2 to the \$27 to calculate expenses.
yeah it's a classic trick question that uses the coincidence that 29 and 30 are close to each other (or rather, the coincidence that 5 dollars and 2*2 = 4 dollars are close in value) to confuse those who are less mathematically inclined.

use different dollar amounts (say, the hotel tries to return \$10, and the bellhop skims \$1) and the flaw in reasoning becomes readily apparent.
6. 12 Mar '09 22:53
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