farmer montague raises chicken and goats. she is not sure how many she of each animal. but she does know she has 22 animals all together. She also know that all together,her animals have 56feet. How many of each type animall does farmer montague have?

Answer 1

Let C = # chickens and G = # goats.

2C + 4G = 56

C + G = 22

Multiply second equation by 2 and subtract it from the first equation.

2G = 12

G = 6

Insert that value into the first equation and solve for C. Check by inserting both values into the second equation.

Answer 2

5 chicken
8 goat