Final answer:
To find out how many cups of sugar will be needed with 48 quarts of popcorn, set up a proportion and solve for x. Using the information given, the answer is 16 cups of sugar.
Step-by-step explanation:
To find out how many cups of sugar will be needed with 48 quarts of popcorn, we can set up a proportion using the given information.
Given: 6 cups of sugar for every 18 quarts of popcorn
Let x be the number of cups of sugar needed for 48 quarts of popcorn.
Using the proportion, we have:
6 cups / 18 quarts = x cups / 48 quarts
Cross-multiplying, we get:
18x = 6 * 48
Simplifying, we get:
18x = 288
Dividing both sides by 18, we find:
x = 16
Therefore, 16 cups of sugar will be needed with 48 quarts of popcorn.