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Math Help - Where's the Extra Dollar

  1. #1
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    Math Riddle URGENT

    I need help with this one ASAP:

    3 guys decide to rent a room while traveling. They are told the room is $30, so they equally divide the room to be $10 per guy. In the course of registration, the manager says they are offering a discount, the room will be $25. To aid them in splitting the difference, the owner said I will keep $2 and you will each get $1 back. That would make their share $9 per guy. $9 x 3 = $27. If the owner kept $2, what happened to the other dollar??????
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by amberbrown
    I need help with this one ASAP:

    3 guys decide to rent a room while traveling. They are told the room is $30, so they equally divide the room to be $10 per guy. In the course of registration, the manager says they are offering a discount, the room will be $25. To aid them in splitting the difference, the owner said I will keep $2 and you will each get $1 back. That would make their share $9 per guy. $9 x 3 = $27. If the owner kept $2, what happened to the other dollar??????
    Nothing, the owner has $27 (that is $25+$2) and each of the guys has $1 - total $30.

    RonL
    Last edited by CaptainBlack; December 21st 2005 at 07:44 AM.
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  3. #3
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    How much did each person end up paying then?
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  4. #4
    Grand Panjandrum
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    Quote Originally Posted by amberbrown
    How much did each person end up paying then?
    $9, they initially paid $10 and received $1 back, 3x9=27.

    The $2 is what the owner kept over the $25 he was entitled to
    not the difference between what the guys finally paid and what
    they initially paid.

    RonL
    Last edited by CaptainBlack; December 21st 2005 at 08:31 AM.
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  5. #5
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    Ok that is where the problem is coming in, what about that other $1
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  6. #6
    Grand Panjandrum
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    Quote Originally Posted by amberbrown
    Ok that is where the problem is coming in, what about that other $1
    There is no other dollar. The riddle is all about misdirection. It mentions
    the $27 and the $2 and implies that these should sum to $30. But they
    should not be added they are not what you think. The $2 is how much
    more than the owner is entitled to that he keeps, so he keeps $27,
    but the problem is trying to suggest that $30 should equal what the
    guys have paid plus the the extra that the owner keeps, but it ain't so.

    RonL
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  7. #7
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    I got it now, thanks! It was throwing me something awful!!!!
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  8. #8
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    Of the $30

    owner got $27
    renter #1 got $1
    renter #2 got $1
    renter #3 got $1

    total = $30

    The question is misleading, they are mixing up two different things, how much extra the owner took and how much the guys paid, the question is a mess but the answer is clear.
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