A recipe calls for 3/4 cup of sugar for 2 servings. How much sugar is needed for 5 servings?

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Multiple Choice

A recipe calls for 3/4 cup of sugar for 2 servings. How much sugar is needed for 5 servings?

Explanation:
Scaling ingredients in proportion to the number of servings is the key idea. You have 3/4 cup for 2 servings, so to find the amount for 5 servings you multiply by the factor 5/2. 3/4 × 5/2 equals 15/8 cups, which is 1 and 7/8 cups. This matches the correct total for 5 servings. The other options don’t fit the proportional change: 3/8 cups is the sugar per serving, not the total for 5 servings; 5/8 cups is too small for five servings; and 15/4 cups is double the correct amount, which would correspond to about 10 servings.

Scaling ingredients in proportion to the number of servings is the key idea. You have 3/4 cup for 2 servings, so to find the amount for 5 servings you multiply by the factor 5/2. 3/4 × 5/2 equals 15/8 cups, which is 1 and 7/8 cups. This matches the correct total for 5 servings. The other options don’t fit the proportional change: 3/8 cups is the sugar per serving, not the total for 5 servings; 5/8 cups is too small for five servings; and 15/4 cups is double the correct amount, which would correspond to about 10 servings.

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