Final answer:
To adjust the cookie recipe for 54 cookies from 36, a proportional calculation is used, resulting in Theo needing 3 cups of sugar instead of the original 2 cups.
Step-by-step explanation:
The question relates to proportion and can be solved by setting up a ratio between the original quantity of cookies and the desired quantity of cookies and then applying that ratio to the amount of sugar needed.
The original recipe makes 36 cookies using 2 cups of sugar. Theo wants to make 54 cookies. To find out how much sugar is needed, set up the proportion:
36 cookies / 2 cups = 54 cookies / x cups
To solve for x, cross-multiply to get:
36 * x = 54 * 2
Then:
x = (54 * 2) / 36
Simplify to get:
x = 3 cups
Therefore, Theo will need 3 cups of sugar to make 54 cookies.