Question

Farmer rusty nales has a total of 25 chickens and cows on his farm. How many of the aches animals does he have if all together there are 76 legs,

Write a system of equations for each equation
Solve using substitution or elimination

Answer 1

13 cows, 12 chickens

Explanation:

Total number of animals= 25

Total number of legs= 76

Let the number of cows be x and the number of chickens be y.

x +y= 25 -----(1)

Since each cow has 4 legs and each chicken has 2 legs,

4x +2y= 76 -----(2)

The second equation can be simplified by dividing both sides of the equation by 2:

2x +y= 38 -----(3)

Let's solve by elimination!

(3) -(1):

2x +y -(x +y)= 38 -25

Expand:

2x +y -x -y= 13

x= 13

Substitute x= 13 into (1):

13 +y= 25

y= 25 -13

y= 12