Question

Trina uses 1/2 of sugar and 3/4 cup of flour in a recipe. How many cups of sugar would she need if she uses 3 cups of flour?

Answer 1

2 cups. You have 4 servings of flour so you need 4 servings of sugar.

Answer 2

`2\ cups\ of\ sugar`

Explanation:

we know that

Trina uses
`1/2` cup of sugar and
`3/4` cup of flour in a recipe

so

by proportion

Find how many cups of sugar would she need if she uses
`3` cups of flour

`((1/2))/((3/4))(cups\ of\ sugar)/(cups\ of\ flour)=(x)/(3)(cups\ of\ sugar)/(cups\ of\ flour)\\ \\ x=3*(1/2)/(3/4)\\ \\x=2\ cups\ of\ sugar`