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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!

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