Question

A cookie recipe that yields 24 cookies requires 1 3/4 cups of butter. How many cups of butter are required for the recipe to yield 72 cookies?

A. 2 (5/8)
B. 3
C. 3 (1/2)
D. 5 (1/4)
E. 10 (1/2)​

Answer 1

The recipe would require 5 (1/4) cups of butter for 72 cookies.

Step-by-step explanation:

To find out how many cups of butter are required for the recipe to yield 72 cookies, we can set up a proportion. Let's call the cups of butter required for 72 cookies as x. The proportion can be set up as:

1 3/4 cups / 24 cookies = x cups / 72 cookies

To solve for x, we cross-multiply and solve for x:

24(x cups) = 1 3/4 cups * 72 cookies

24x = 126 cups

x = 126 cups / 24

x = 5.25 cups

Therefore, the recipe would require 5 (1/4) cups of butter for 72 cookies.