Respuesta :
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.
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