A recipe requires 4 cups of sugar to make 8 cookies. How many cups of sugar will be needed to make 24 cookies?
3 times as many cookies means 3 times as much sugar
To find out how many cups of sugar will be needed to make 24 cookies, we can set up a proportional relationship between the number of cookies and the amount of sugar.
In this case, we have a ratio of 8 cookies to 4 cups of sugar. We can write this as 8 cookies : 4 cups of sugar.
To find the amount of sugar needed for 24 cookies, we need to determine the equivalent ratio using proportionality.
First, we can divide the number of cookies by the amount of sugar needed:
8 cookies ÷ 4 cups of sugar = 2 cookies per cup of sugar
This tells us that for every 2 cookies, we need 1 cup of sugar.
Then, we can use this ratio to find out how much sugar is needed for 24 cookies:
24 cookies ÷ 2 cookies per cup of sugar = 12 cups of sugar
Therefore, you will need 12 cups of sugar to make 24 cookies.