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