For a given recipe, 4 cups of flour are mixed with 22 cups of sugar. How many cups of sugar should be used if 14 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
_____ _____
14 x
To find the constant ratio between flour and sugar, we can divide the cups of sugar by the cups of flour:
22/4 = 5.5
Therefore, for every cup of flour, 5.5 cups of sugar are used.
Using the constant ratio, we can fill out the table:
Flour Sugar
4 22
14 x
So, for 14 cups of flour:
14 * 5.5 = 77
Therefore, 77 cups of sugar should be used if 14 cups of flour are used.