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21 February, 09:46

A farmhouse shelters 15 animals. Some are buffalo and some are ducks. Altogether there are 46 legs. How many of each animal are there?

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  1. 21 February, 09:58
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    ducks * legs + buffalo * legs = total legs

    x*2 + (15-x) * 4 = 46

    distribute

    2x + 60 - 4x = 46

    -2x + 60 = 46

    subtract 60 from each side

    -2x = - 14

    divide by - 2

    x = 7

    There are 7 ducks

    15-7 = 8

    there are 8 buffalo
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