Question

The only animals on farmer Justin's farm are cows and chickens. If justin counts a total of 45 heads and a total of 126 feet. Find the number of cows on Justin's farm

Answer 1

18

Explanation:

Answer 2

The number of cows on Justin's farm is 18.

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
`x.`

And the number of chickens be
`y.`

So, the total number of heads are:

`x+y=45`

`y=45-x` ......(1)

As, the feet of chicken are 2 and the cows are 4.

Thus, total number of feet are:

`4x+2y=126`

Substituting the value of
`y` from equation (1) we get:

`4x+2(45-x)=126`

`4x+90-2x=126`

`90+2x=126`

Subtracting both sides by 90 we get:

`2x=36`

Dividing both sides by 2 we get:

`x=18.`

The number of cows = 18.

Therefore, the number of cows on Justin's farm is 18.