For a given recipe, 8 cups of flour are mixed with 16 cups of sugar. How many cups of flour should be used if 24 cups of sugar are used?

Question

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

Flour Sugar
8 16
____ _____
x 24

Answer 1

Flour Sugar
8 16
x 24

To find the missing value of x, we can set up a proportion:

8/16 = x/24

Cross multiply to solve for x:
16x = 8*24
16x = 192
x = 192/16
x = 12

Therefore, if 24 cups of sugar are used, 12 cups of flour should be used.