One football and a missing Euro

Discussion in 'General Math' started by André Hartmann, Jul 23, 2004.

  1. Hi all,

    maybe you will enjoy the following over the weekend:

    Three boys are going to a shop to buy a football. Each of them has 10
    euro. So that makes it 30. They look at several and decide for a ball. Its
    30 euro and they walk out of the shop the ball happily.

    after a minute the shop owner notices he made a mistake.. the bass was
    only 25 !! so he hands 5 euro to his assistant and sends him after the boys
    to return the 5 euro.

    now the assistant thinks to himself: what are the boys gonna do with the
    fiver ? it doesnt divide by 3 anyway,... so i will keep 2 for myself and
    return just 3 to them.

    so thats what happens, each of the boys gets a euro back.

    now, all of them have obviously paid 9 which makes 27 euro. two euro are
    kept by the assistant, makes it 29.

    QUESTION: where is the missing euro ?

    André Hartmann, Jul 23, 2004
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  2. Yawn. This comes up all the time, in sci.math or other math forums.
    There is no problem: the owner has 25, the assistant has 2, and each
    buyer had a 1 refund: 25+2+3=30. Or if you want to look at it this
    way: the buyers paid in total 25 to the owner +2 to the assistant=27
    which is the same as 30 paid initially minus the 3 refunded.
    Sylvain Croussette, Jul 23, 2004
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