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Chickens have 2 legs and cows have 4 legs.
Let x = # of chickens and let y = # of cows.
2x + 4y = 118
x + y = 50
x= 50 - y
2(50 - y) + 4y =118
100 - 2y + 4y = 118
2y = 18
y = 9
x = 41