if the ratio of 2x to 5y is 3 to 4, what is the ratio of x to y?

[math_celebrity]

if the ratio of 2x to 5y is 3 to 4, what is the ratio of x to y?

Set up our given ratio:
2x/5y = 3/4

Cross multiply:
2x * 4 = 5y * 3
8x = 15y

Divide each side by 8:
8x/8 = 15y/8
x = 15y/8

Now divide each side by y to find x/y:
x/y = 15y/8y
x/y = 15/8