Chickens and Rabbits | Math Puzzle


There are several chickens and rabbits in a cage (with no other types of animals). There are 72 heads and 200 feet inside the cage. How many chickens are there, and how many rabbits?

Puzzle Solution:

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.

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