On a farm there are chickens and cows. Together they have 200 legs and 75 heads. How many cows and chickens are there on the farm? Use a system of equations.

1 Answer
Apr 25, 2018

Number of Cows=25

Number of chicken =50

Explanation:

Let the number of cows be y and the number of chicken be x

both chicken and cows have 1 head while cows have 4 legs and chicken have 2

Number of Heads = Number of Cows + Number of Chicken

Number of legs = Number of Cows × 4 + Number of Chicken ×2

75=y+x (1)

200=4y+2x(2)

x=75y From (1)

substitute in (2)

200=4y+2(75y)

200=4y+1502y

50=2y

y=25

x=50