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A recipe for making 18 cookies requires ¾ cup of sugar. How much sugar would be needed to make two dozen cookies using the same recipe? 3/8 cup 1 cup 1 1/3 cups 1 1/2 cups

Question

A recipe for making 18 cookies requires ¾ cup of sugar. How much sugar would be needed to make two dozen cookies using the same recipe? 3/8 cup 1 cup 1 1/3 cups 1 1/2 cups

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Solution

Step 1: Determine the number of cookies in two dozen.

A dozen is equal to 12, so two dozen cookies would be 2 * 12 = 24 cookies.

Step 2: Determine the ratio of cookies to sugar in the original recipe.

The original recipe makes 18 cookies with 3/4 cup of sugar.

Step 3: Determine how much sugar is needed for 24 cookies.

We set up a proportion to solve for the unknown amount of sugar (x) needed for 24 cookies:

18 cookies / 3/4 cup of sugar = 24 cookies / x cups of sugar

Cross-multiplying gives us:

18x = 24 * 3/4

Solving for x gives us:

x = (24 * 3/4) / 18 = 1 1/3 cups

So, 1 1/3 cups of sugar would be needed to make two dozen cookies using the same recipe.

This problem has been solved

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