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    starfirefly's Avatar
    starfirefly Posts: 397, Reputation: 33
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    #1

    Feb 12, 2009, 09:46 AM
    my grampas riddle
    3 men go to a hotel, they only have 10$ each and the rooms are 30$ each so they decide to share a room... the housekeeper takes them to their room. Later on that night the manager starts to feel bad that 3 men have to share the room so he decides to give them back 5$, the 3 men realize that you can't evenly split 5$ so they each take 1$ and give the housekeeper a 2$ tip... now each man has paid only 9$ for the room, and 9$multiplied by 3 men is 27$ total, and the maid has 2$... 27$+2$= 29$... so where did the other dollar go??
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Feb 12, 2009, 10:04 AM

    Definitely a classic puzzle - I first heard this one 40 years ago (back when $30 could actually get you decent hotel room).

    I could respond with the solution to the puzzle if you like, but that might ruin it for others.
    Jentau's Avatar
    Jentau Posts: 57, Reputation: 8
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    #3

    Feb 17, 2009, 09:51 AM

    I'm stumped.. help please ;)
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #4

    Feb 17, 2009, 10:06 AM
    Quote Originally Posted by Jentau View Post
    i'm stumped..help please ;)
    Of the original $30, each man got $1 back and therefore spent $9. So between them they spent a total of $27 to cover both the room at $25 and $2 for the tip. So the math is:

    $27 (what the men spent on room and tip)
    - $2 (tip)
    ---------
    $25 (what they spent on the room)


    With me so far?

    The riddle tries to confuse you by doing an addition instead of a subtraction, like this:

    $27 (what the men spent on room and tip)
    +$2 tip
    --------
    $29.

    So you can see that the $29 figure is meaningless.
    Jentau's Avatar
    Jentau Posts: 57, Reputation: 8
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    #5

    Feb 17, 2009, 11:04 AM

    Yes I asked my sister about it and this is what she said:
    Uh... I figured that if they each had 10 bucks... gave it away ($30)... then got back $5 for them to share. So still, the hotel has $25 of their money and the dudes have $5 (this still equals $30... 25+5)... So then they each have 3 bucks each. The hotel still has their 25 bucks and the maid has their 2 bucks so the hotel has 27 bucks and the dudes have 3 bucks. 27 + 3 is 30. I don't see a dollar missing... but maybe my brain figures it out different?

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