To find the ratio of x to y given that the ratio of 2x to 5y is 3 to 4, we can set up the equation based on the given ratio:
We start by writing the ratio as:
2x / 5y = 3 / 4
Now, we can cross-multiply to eliminate the fraction:
2x * 4 = 3 * 5y
This simplifies to:
8x = 15y
Next, we want to express the ratio of x to y. We can rearrange the equation to solve for x/y:
x/y = 15/8
This means the ratio of x to y is:
x : y = 15 : 8
Thus, the final answer is the ratio of x to y is 15 to 8.