Question

There are 12 animals in the barn. Some are chickens and some are pigs.

There are 32 legs in all. How many of each animal are there?

Answer 1

the answer is 10 for chicken and 10 for pigs

Answer 2

4 pigs and 8 chickens.

Explanation:

Let number of chickens be c and number of pigs be p:

Animals:

c + p = 12

Legs:

2c + 4p = 32

Multiply the first equation by 2:

2c + 2p = 24

Subtract this from the second equation:

2c - 2c + 4p - 2p = 32 - 24

2p = 8

p = 4

and therefore c = 12 - 4 = 8.