Question

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

Answer 1

You will use
`(1)/(4)` cup of sugar.

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;

`(3)/(4):(1)/(2)::x:(1)/(6)`

Product of mean = Product of extreme

`(1)/(2)x=(3)/(4)*(1)/(6)\\\\(1)/(2)x = (1)/(8)\\\\x = (1)/(8)*2\\\\x=(1)/(4)`

Hence,

You will use
`(1)/(4)` cup of sugar.