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14 January, 23:55

There is an animal farm where chickens and cows live. All together, there are 84 heads and 210 legs. How many chickens and cows are there on the farm?

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  1. 15 January, 00:09
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    1 Chicken have = 2 legs

    1 Cow have = 4 legs

    No of cows = x

    No of chickens = y

    Total no of legs = 4x + 2y = 210 ... (1)

    Total No of heads = x + y = 84 ... (2)

    x = 84 - y ... (from (2))

    Substituting the above equation in (1)

    4 (84 - y) + 2y = 210

    336 - 4y + 2y = 210

    336 - 2y = 210

    -2y = - 126

    = y = 63

    No of cows = 84-63 = 21

    ∴ Total no of cows = 21

    Total no of chickens = 63
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