Solve the proportion! Please show work on how to do it

You will use cup of sugar.

Step-by-step explanation:

Given that:

A recipe calls for 3/4 cup of sugar and 1/2 cup of brown sugar.

Ratio of sugar to brown sugar = 3/4 : 1/2

Amount of brown sugar used = 1/6

Amount of sugar used = x

Ratio of sugar to brown sugar = x : 1/6

As the relationship is proportional;

Product of mean = Product of extreme

Hence,

You will use cup of sugar.