Question

Solve this puzzle: There are multiple chickens and rabbits in a cage. There are 72 heads and 200 feet inside of the cage. How many chickens are in there and how many rabbits?

Answer 1

A chicken has only 1 head and 2 legs
Rabbit has 1 head and 4 legs.

There are 72 heads.
There are 200 feet.

Forming the equation.
Let x for chicken, y for rabbit.

X + Y = 72
2X + 4Y = 200 --> X + 2Y = 100

Eliminate X by subtracting the two equations.
X + Y = 72
X + 2Y = 100
-----------------------
-Y = -28
Y = 28

X + Y = 72
X = 72 - 28
X = 44

So there are 44 chickens and 28 rabbits.