To determine the ratio of x to y, let’s start with the information provided. We know that the ratio of 2x to 5y is given as:
2x : 5y = 3 : 4
This can be expressed as the equation:
2x/5y = 3/4
Now we can cross-multiply to eliminate the fractions:
4(2x) = 3(5y)
This simplifies to:
8x = 15y
Now to find the ratio of x to y, we can rearrange this equation:
x/y = 15/8
Therefore, the ratio of x to y is:
x : y = 15 : 8
In summary, when the ratio of 2x to 5y is 3 to 4, the ratio of x to y simplifies to 15 to 8.