In the barn, there are horses and chickens. There are 11 heads and 32 legs altogether. How many chickens are there?

A. 6

B. 5

C. 4

D. 3

6 Chickens

Step-by-step explanation:

Let H represent the number of horses and C represent the number of chickens. Since there are 32 legs altogether this means that on equation to use would be given by:

2C + 4 H = 32 (Eq. 1)

Another equation can be made from the fact that there are 11 heads or 11 animals altogether which can be written as:

C + H = 11 (Eq. 2)

From Eq. 2, solve for the number of chickens:

C + H = 11

C = 11 - H (Eq. 3)

Substituting Eq. 3 in Eq. 1, the number of horses can be determined:

2 C + 4 H = 32

2 (11 - H) + 4 H = 32

22 - 2 H + 4 H = 32

2H = 32 - 22

2 H = 10

H = 5 Eq. 4

Putting Eq. 4 in Eq. 1

2C + 4*5 = 32

2C = 32 - 20

2C = 12

C = 12/2

C = 6