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Q: On a farm there are horses and chickens There are total of 131 heads and 448 legs How many horses are on the farm?

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There are 61 horses and 10 chickens on the farm.

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If all were horses there would be 4 x 61 ie 244 legs. There is a shortfall of 50 legs ie 25 less four-legged creatures, so there are 36 horses and 25 chickens, giving 144 + 50 legs

Suppose there are x chickens and y cows Then heads => x + y = 64 And Legs => 2x + 3y = 147 2*Heads: 2x +2y = 128 Subtract from Legs: 19 = y Substitute in Heads: x = 45 Answer: 45 chickens.

On this farm there would be a total of 18 cows. There would also be 18 chickens, combining to make 36 heads and 104 legs.

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