ASVAB · Ratios, Proportions, and Rates

A recipe uses 3 cups of flour for every 2 cups of sugar. If you use 9 cups of flour, how many cups of sugar do you need?

Correct answer

6 cups

  1. A 4 cups
  2. B 8 cups
  3. C 5 cups
  4. D 6 cups

Why this is the answer

Set up a PROPORTION: flour/sugar = 3/2 = 9/x. Cross-multiply: 3x = 2 × 9 = 18, so x = 6 cups of sugar. ASVAB Arithmetic Reasoning tests ratios/proportions.

Shortcut: 9 cups of flour is 3 times the original 3 cups (9 ÷ 3 = 3), so multiply the sugar by 3 too: 2 × 3 = 6 cups. Strategy: keep the ratio consistent — whatever you multiply one part by, multiply the other part by the same factor. Check: 9/6 reduces to 3/2. ✓

Source: ASVAB Arithmetic Reasoning — Proportions

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About this topic: Ratios, Proportions, and Rates

Ratios, proportions and rates cover scale drawings, recipes, speed and unit prices. Almost every question reduces to setting two ratios equal and cross-multiplying — once you see that pattern the section becomes fast. This is one of 11 Arithmetic Reasoning questions on ratios, proportions, and rates, each with a full explanation on a single study page.

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