Answer:
16/20
Step-by-step explanation:
We can write this as a proportion
4 x
----- = ----------
5 y
Using cross products
4y = 5x
We know that x+y = 36
We have 2 equations and 2 unknowns.
4y = 5x
x+y =36
Divide by first equation by 4
y = 5/4 x
substitute this into the 2nd equation
x + 5/4x = 36
Getting a common denominator
4/4x + 5/4 x = 36
Combining like terms
9/4 x =36
Multiply each side by 4/9 to isolate x
4/9 * 9/4x = 4/9*36
x = 16
Now we need to find y
y = 5/4x
y = 5/4 (16)
y= 20
The fraction is x/y
16/20
