Question

Please answer this quick for me

Answer 1

16/20

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