A chocolate cookie recipe that makes 24 cookies uses 3/4 cups of brown sugar. If John wants to make 72 cookies, how much brown sugar does he need?

72/24 = 3

3 * 3/4 = 9/4 = 2 1/4

To find out how much brown sugar John needs to make 72 cookies, we can set up a proportion based on the ratio of cookies to brown sugar in the original recipe.

If 24 cookies use 3/4 cups of brown sugar, then we can set up the proportion as:

24 cookies / 3/4 cups brown sugar = 72 cookies / x cups brown sugar

To solve for x (the amount of brown sugar needed for 72 cookies), we can cross-multiply:

24 * x = 72 * 3/4

Simplifying the right side of the equation:

24 * x = 54

Dividing both sides by 24:

x = 54 / 24 = 2.25

Therefore, John would need 2.25 cups of brown sugar to make 72 cookies.

To figure out how much brown sugar John needs to make 72 cookies, we will use a proportion. Let's set up the proportion using the number of cookies and the amount of brown sugar.

We have the following information:
- 24 cookies require 3/4 cups of brown sugar.

Let's represent the amount of brown sugar needed for 72 cookies as "x".

The proportion can be set up as:
24 cookies / 3/4 cups of brown sugar = 72 cookies / x cups of brown sugar

To solve for "x," we need to cross-multiply and then solve for "x". Here's the equation:

(24 cookies) * (x cups of brown sugar) = (72 cookies) * (3/4 cups of brown sugar)

Simplifying the equation, we have:
24x = (72 * 3/4)

To find the value of "x," we will multiply 72 by 3 and then divide the result by 4:

24x = (216/4)

Dividing both sides of the equation by 24 to isolate "x," we get:

x = (216/4) / 24

Calculating this equation, we find:
x = 9/4 or 2 1/4 cups of brown sugar

Therefore, John will need 2 1/4 cups of brown sugar to make 72 cookies.