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:

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 $a.$

And the number of chickens be $b.$

So, the total number of heads are:

$a+b=45$

$b=45-a$  .......(1)

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

Thus, total number of feet are:

$4a+2b=126$

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

$4a+2(45-a)=126$

$4a+90-2a=126\\2a+90=126$

Subtracting both sides by 90 we get:

$2a=36$

Dividing both sides by 2 we get:

$a=18.$

The number of cows = 18.

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

Answer 2

Answer:

18

Step-by-step explanation: