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30 October, 04:45

Farmer Tom raises ducks and horses on his farm. All of his horses need new horseshoes. He calls the farrier (a person who puts shoes on horses) but has a difficult time remembering how many of each animal he owns. He knows that there are a total of 24 animals. The animals have a total of 62 legs (all animals have either two or four legs). How many horses does Tom own?

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  1. 30 October, 08:10
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    h+d=24

    h = 24-d

    4h + 2d = 62

    4 (24-d) + 2d = 62

    96 - 4d + 2d = 62

    96-2d = 62

    -2d = - 34

    d = - 34 / - 2 = 17

    17 ducks

    24-17 = 7 horses
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