Final answer:
To make 54 cookies, approximately 1.125 cups of sugar is needed.
Step-by-step explanation:
To find out how much sugar is needed to make 54 cookies, we can use proportions. We know that 36 cookies require 3/4 cup of sugar. So, if we set up a proportion:
36 cookies / 3/4 cups = 54 cookies / x cups
Cross-multiply and solve for x:
36 * x = 54 * 3/4
36x = 40.5
x = 40.5 / 36
x ≈ 1.125 cups
Therefore, approximately 1.125 cups of sugar is needed to make 54 cookies.