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Reggie has a recipe for Popcorn balls. If 6 cups of sugar are used with every 18 quarts of popcorn, how many cups of sugar will be needed with 48 quarts of popcorn?

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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.

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