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Simple puzzle

  1. Jun 30, 2005 #1
    Three guys walk into a hotel. The Bell boy charges them 30 dollars for the room. Each of the thee men pay 10 dollars.

    The Bell boy gives the money to the manager but is repremanded as the room only costs 25 dollars, he is told to give 5 dollars back.

    To make things easier he gives each man 1 dollar back and keeps 2 for himself.

    So in the end each man had paid 9 dollars making 27 in total. The Bell boy kept 2 making 29, so where did the last dollar go?
  2. jcsd
  3. Jun 30, 2005 #2
    nowhere. 2making 29 is wrong.
  4. Jun 30, 2005 #3


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    captain, welcome to PF!
    thanks for contributing to the puzzles
    having new people bring puzzles (even if sometimes there might be repeats) keeps things lively

    I'll hide an answer to show how it is done if you are not familiar with it.
    You put the answer between [C*LOR=white] and [/C*LOR]
    but spell it color, not c*lor
    so run the mouse over the next patch of area and it will show up

    the guys paid out a total of 27 dollars, where did the 27 dollars go? the bellhop got $2 and the manager got $25
    I think this is what neurocomp is saying
  5. Jun 30, 2005 #4
    yes...sorry i guess i shoulda whited out my answer. my bad.
  6. Jul 1, 2005 #5
    :confused: The men only pay 25 dollars, because the manager gives 5 dollars back. so when the bell boy gives them each 1 dollar, that makes it 28 dollars and the boy keeps 2 dollars which makes it 30 dollars. Therefore the men pay uneven amounst of money, but no money is unaccounted for. :confused:
  7. Jul 1, 2005 #6
    exercise in symamtics
  8. Jul 1, 2005 #7


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    "So in the end each man had paid 9 dollars making 27 in total. The Bell boy kept 2 making 29, so where did the last dollar go?"

    This last statement is adding apples and oranges; it is trying to add "amount given out" to "amount received" and then asking why they don't add up.
    It's like saying "I pay you $5, and you receive $5. If we add those together, we have suddenly created a total of $10 out of nothing."

    In reality, the sum total of moneys started off at $30 (all in the men's hands) In the end, the hotel has $25, the bellboy has $2 and the 3 men have $1 each.
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