Posers and Puzzles

Posers and Puzzles

  1. Standard memberO Artem O
    ParTizan
    Philadelphia, USA
    Joined
    05 Jan '07
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    65969
    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. ALG
    Joined
    16 Dec '07
    Moves
    6190
    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. Joined
    15 Feb '07
    Moves
    667
    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. Standard memberTheMaster37
    Kupikupopo!
    Out of my mind
    Joined
    25 Oct '02
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    20443
    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. Joined
    02 Mar '06
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    17881
    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. Joined
    12 Mar '09
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    9
    12 Mar '09 22:53
    [WORD TOO LONG]
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