Question

There are multiple chickens and rabbits in a cage. There are 72 heads and 200 feet inside of the cage. How many chickens and how many rabbits

Answer 1

Let the number of chickens be x and that the number of rabbits be y

So, the equation would be
x+y = 72. --Eq.1
4x + 2y = 200 --Eq.2

Eq.1 can also be written as
2x+2y = 144 --Eq.3


Eq.2 - Eq.3

4x -2x+2y -2y = 200-144
2x = 56
x = 28

So, the number of chickens = 28
Number of rabbits = 72-28 = 44