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Take P to be the number of pigs and C to be the number of chickens. Because both anamals have a head, the sum of C and P is 143, or

C + P = 143

Because a chicken contributes 2 legs and a pig contributes 4, C times 2 plus P times 4 equals the total number of legs, or

2C + 4P = 478

divide this equation by 2 to get

C +2P = 239

Subtract the first equation from this one

P = 96

plug this into the first equation

C + 96 = 143

C = 47

96 Pigs and 47 chickens

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Q: If there are 143 heads and 478 legs how many chickens and pigs are there?
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