SAT Math · Ratios, rates, proportional relationships, and units · medium

A recipe for 4 servings requires 2 cups of flour. If the recipe is first scaled to make 10 servings, and then that amount is doubled for a…

A recipe for 4 servings requires 2 cups of flour. If the recipe is first scaled to make 10 servings, and then that amount is doubled for a large party, how many cups of flour are needed in total?

Answer and explanation

Answer: A: 10

First find the flour per serving: 2 cups for 4 servings is 24=0.5\frac{2}{4} = 0.5 cup per serving. For 10 servings, that is 0.5×10=50.5 \times 10 = 5 cups. The amount is then doubled for the party, so 5×2=105 \times 2 = 10 cups, choice A. Choice B (5) stops after the first scaling and forgets to double. Choice C (20) doubles the recipe twice or scales 4 servings to 10 using the wrong factor. Choice D (8) comes from multiplying 2 cups by 4, mixing up servings and cups and skipping the scaling to 10 servings. Both steps are needed.

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