For a given recipe, 3 cups of flour are mixed with 12 cups of sugar. How many cups of flour should be used if 48 cups of sugar are being used?

Question

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

Flour Sugar
3 12
____ _____
x 48

Answer 1

To find the equivalent ratio, we can set up a proportion:

3/12 = x/48

Cross multiply to solve for x:

12x = 3 * 48
12x = 144
x = 144/12
x = 12

So, if 48 cups of sugar are being used, 12 cups of flour should be used.