Question 463884
A farmer has 30 animals. One day he decided to count all the legs. He counted a total of 74 legs. How many chickens and goats does he have? 
I came up with 22 chickens and 8 goats. 

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Animal Equation: c + g = 30 animals
Legs Equation:  2c +4g = 74 legs
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Divide thru the legs equation by 2:
c + g = 30
c + 2g = 37
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Subtract the top equation from the bottom to get:
g  = 7 (# of goats)
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Solve for "c":
c + 7 = 30
c = 23 (# of chickens)
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Checking:
23 chickens have 46 legs
7 goats have 28 legs
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Total legs = 74
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Cheers,
Stan H.
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