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Carol has 1 5/8 cups of yogurt to make smoothies. Each smoothie uses 1/3 cup of yogurt. What is the maximum number of smoothies that Carol can make with the yogurt?

A. 1
B. 4
C. 5
D. 7

1 Answer

2 votes

Final answer:

Carol can make a maximum of 4 smoothies by dividing the total amount of yogurt (13/8 cups) by the amount needed for one smoothie (1/3 cup), resulting in 4 complete smoothies. The correct answer is option B. 4

Step-by-step explanation:

The question revolves around how many smoothies Carol can make with 1 5/8 cups of yogurt if each smoothie requires 1/3 cup. To solve this, you need to divide the total amount of yogurt Carol has by the amount of yogurt required for one smoothie.

First, convert the mixed number to an improper fraction: 1 5/8 cups = (1 × 8 + 5) / 8 = 13/8 cups. Now, divide the total cups of yogurt by the cups required per smoothie: (13/8 cups) / (1/3 cup/smoothie) = (13 × 3) / (8 × 1) = 39/8 smoothies. Since she cannot make a fraction of a smoothie, we must round down to the nearest whole number, yielding 4 smoothies.

Therefore, Carol can make a maximum of 4 smoothies. The answer is B. 4.

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