114k views
1 vote
Theo wants to use a cookie recipe

that makes 36 cookies, but he wants
to increase the number of cookies to
54. If the recipe calls for 2 cups
of sugar, how much sugar should
he use?

2 Answers

6 votes

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.

User Karissa
by
5.0k points
5 votes
36 divided by 2 is 18 cookies which means half the sugar, or 1 cup.
54 divided by 3 is 18, If 18 cookies need 1 cup, then 54 needs 3 cups
User Oleksi
by
5.3k points