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

Respuesta :

Given:
Animals: Chicken and Rabbits
Total heads : 72
Total feet : 200

Chicken and Rabbits have one head : C + R = 72
Chicken have 2 feet and Rabbits have 4 feet : 2C + 4R = 200

C + R = 72
C = 72 - R

2C + 4R = 200
2(72 - R) + 4R = 200
144 - 2R + 4R = 200
-2R + 4R = 200 - 144
2R = 56
R = 56/2
R = 28

C = 72 - R
C = 72 - 28
C = 44

2C + 4R = 200
2(44) + 4(28) = 200
88 +  112 = 200
200 = 200