Answer:
The number of cows on Justin's farm is 18.
Step-by-step explanation:
Given:
The only animals on farmer Justin's farm are cows and chickens.
Justin counts a total of 45 heads and a total of 126 feet.
Now, to find the number of cows on Justin's farm.
Let the number of cows be [tex]x.[/tex]
And the number of chickens be [tex]y.[/tex]
So, the total number of heads are:
[tex]x+y=45[/tex]
[tex]y=45-x[/tex] ......(1)
As, the feet of chicken are 2 and the cows are 4.
Thus, total number of feet are:
[tex]4x+2y=126[/tex]
Substituting the value of [tex]y[/tex] from equation (1) we get:
[tex]4x+2(45-x)=126[/tex]
[tex]4x+90-2x=126[/tex]
[tex]90+2x=126[/tex]
Subtracting both sides by 90 we get:
[tex]2x=36[/tex]
Dividing both sides by 2 we get:
[tex]x=18.[/tex]
The number of cows = 18.
Therefore, the number of cows on Justin's farm is 18.
