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.