SOLUTION: On a farm with chickens and cows, Mr. Brown counted 36 heads and 96 legs. How many chickens and cows were there? Equation 1: Equation 2: Solution:

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Question 234657: On a farm with chickens and cows, Mr. Brown counted 36 heads and 96 legs. How many chickens and cows were there?
Equation 1:
Equation 2:
Solution:
Answer by chibisan(131) About Me  (Show Source):
You can put this solution on YOUR website!
Given that there was 36heads , the total number of chickens and cows will be 36.
so let the number of chickens be x and number of cows be y

Equation 1 : x+y=36

Equation 2 : 2x+4y=96 (for the total number of legs)

Solution :
Subst. x=36-y to Eqn2

2(36-y)+4y=96
72-2y+4y=96
2y=24
y=12
x= 36-12 = 24.

so there were 12cows and 24 chickens.