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Mathematical Reasoning Puzzles - Solution for #15

Solution for #15

Let c be the number of chickens, and r be the number of rabbits.

          r + c = 72
4r + 2c = 200

To solve the equations, we multiply the first by two, then subtract the second.

        2r + 2c = 144
2r = 56
r = 28
c = 44

So there are 44 chickens and 28 rabbits in the cage.