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2 years ago

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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. Fi

nd the number of cows on Justin's farm

2 answers:

rewona [7]2 years ago

8 0

Answer:

18

Step-by-step explanation:

IRINA_888 [86]2 years ago

3 0

Answer:

The number of cows on Justin's farm is <u>18</u>.

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:

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

$4x+90-2x=126$

$90+2x=126$

<em>Subtracting both sides by 90 we get:</em>

$2x=36$

<em>Dividing both sides by 2 we get:</em>

$x=18.$

<em>The number of cows = 18.</em>

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

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