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There are only pigs and chickens on a farm there are only 22 heads and 72 feet in all. how many pigs and chickens are there?
14 pigs 8 chicken's
Since there are 22 heads, let the number of pigs be x and the number of chickens be 22 - x. Since pigs have 4 legs and chickens have 2 legs, and there are 72 legs in all, we have
4x + 2(22 - x) = 72
4x + 44 - 2x = 72
2x + 44 = 72
2x + 44 - 44 = 72 - 44
2x = 28
2x/2 = 28/2
x = 14 (the number of pigs)
22 - x = 22 - 14 = 8 (the number of chickens)
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