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

Answer:

18

Step-by-step explanation:

Answer 2

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 $x.$

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.