Mac has 117 white and black
horses on his farm. The ratio of
the number of black horses to the
number of white horses is 5:4.
Find the number of white horses
on Mac's farm​

Respuesta :

Answer:

The number of white horses is 52

Step-by-step explanation:

Let

x ----> the number of black horses

y ----> the number of white horses

we know that

[tex]x+y=117[/tex] ----> equation A

[tex]\frac{x}{y}=\frac{5}{4}[/tex]

[tex]x=\frac{5}{4}y[/tex] ----> equation B

Substitute equation B in equation A and solve for y

[tex]\frac{5}{4}y+y=117[/tex]

[tex]\frac{9}{4}y=117[/tex]

[tex]y=117(4)/9\\y=52[/tex]

therefore

The number of white horses is 52