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A rancher raises 5 times as many cows as horses. If he has 132 animals

Sagot :

musiclover10045

let x = horses

5x = cows


x + 5x = 132

6x = 132

Divide both sides by 6

X = 22


he has 22 horses and 110 cows

There are 22 horses and 110 cows.

What is an equation?

"It is a mathematical statement which consists of equal symbol between two mathematical expressions."

For given question,

Let 'c' represents the number of cows and 'h' represents the number of horses.

A rancher raises 5 times as many cows as horses.

So, we get an equation,

⇒ c = 5 × h                        .................(i)

There are 132 animals.

So, we get an equation,

⇒ c + h = 132                    ..................(ii)

Substitute the value of c = 5h in equation (ii)

⇒ c + h = 132

⇒ 5h + h = 132

⇒ 6h = 132

⇒ h = 22

This means, there are 22 horses.

Substitute the vale of h in equation (i),

⇒ c = 5 × h  

⇒ c = 5 × 22

⇒ c = 110

This means, there are 110 cows.

Therefore, there are 22 horses and 110 cows.

 

Learn more about equation here:

brainly.com/question/649785

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