For a given recipe, 4 cups of flour are mixed with 22 cups of sugar, How many cups of sugar should be used if 24 cups of flour are used?

Assuming a constant ratio, fill out the table of equivalent ratios until you have found the value of x

Flour Sugar
4 22
_____ _____

24 x

____ cups of sugar should be mixed with 24 cups of flour.

To find the value of x, we set up a proportion based on the given information:

4 cups of flour is to 22 cups of sugar as 24 cups of flour is to x cups of sugar

(4/22) = (24/x)

Cross multiplying, we get:

4x = 22*24
4x = 528
x = 528/4
x = 132

Therefore, 132 cups of sugar should be mixed with 24 cups of flour.