Question

A recipe needs 3/4 cups of sugar for every 3 1/4 cups of flour. If you plan to use 9 3/4 cups of flour, how much sugar will you need?

A) 1 1/2 cups
B) 2 1/4 cups
C) 2 1/2 cups
D) 3 cups

Answer 1

By setting up a proportional relationship based on the given ratio in the recipe, we find that you will need 2 1/4 cups of sugar for 9 3/4 cups of flour.

Step-by-step explanation:

To solve the question: If you plan to use 9 3/4 cups of flour, how much sugar will you need given that a recipe needs 3/4 cups of sugar for every 3 1/4 cups of flour?, we'll set up a proportion based on the recipe ratio:

3/4 cups sugar / 3 1/4 cups flour = x cups sugar / 9 3/4 cups flour

Convert 3 1/4 cups to an improper fraction: 3 1/4 = 13/4.

Now, our proportion is:

3/4 / 13/4 = x / 39/4

Let's solve for x:

3/4 * (39/4) = (13/4) * x

x = (3/4 * 39/4) / (13/4)

x = (3 * 39) / (4 * 13)

x = (3 * 3) / 4

x = 9 / 4

x = 2 1/4 cups

So, you will need 2 1/4 cups of sugar when using 9 3/4 cups of flour.