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A farmer has a certain amount of chickens and rabbits Altogether these animals have 140 feet and 50 heads How many rabbits and chickens does the farmer have?
Suppose there are C chickens and R rabbits.
Then
Feet: 2*C + 4*R = 140 . . . . . (I)
Heads: C + R = 50 . . . . . . . . (II)
Equation (I) - Equation (II) gives:
2*C + 4*R - 2*C - 2*R = 140 - 2*50
or 2*R = 40 so that R = 20
and then, by (II), C + 20 = 50 so that C = 30.
Answer: 20 rabbits and 30 chickens.
This assumes, of course, that there are no headless chickens running around!
What else can I help you with?
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