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On a farm there were horses and chickens there are 61 heads and 186 legs how many horses are there?
Wiki User
∙ 14y ago
Call the number of chickens c and the number of horses h. Each chicken has two legs and each horse has four, while each animal has only one head. Therefore, from the problem statement, 2c + 4h = 186 and c + h = 61.
From the second of these, c = 61 - h. Therefore, the first can be rewritten as:
2(61 - h) + 4h = 186, or
122 - 2h + 4h = 186, or
2h = 186 - 122 = 64, or
h = 32.
c = 61 - 32 = 29.
Wiki User
∙ 14y ago
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