GRE General TestQuantitative ReasoningMedium

A chemist is preparing a solution. She needs to mix 3 parts of chemical A with 5 parts of chemical B. If she uses 120 mL of chemical A, how much chemical B (in mL) does she need?

  1. A120 mL
  2. B72 mL
  3. C200 mL
  4. D320 mL
Show answer & explanation

Correct answer: C. 200 mL

Set up a proportion: (parts of A) / (volume of A) = (parts of B) / (volume of B). Solve for the unknown volume of B.

Why the other options are wrong

  • A. This assumes equal parts, which is incorrect based on the ratio.
  • B. This would be the amount if the ratio was 5 parts A to 3 parts B.
  • D. This error likely added the parts (3+5=8) and then multiplied 8 by 120 or similar miscalculation.

Proportional Reasoning

Proportional reasoning involves understanding how quantities change in relation to each other, often expressed as ratios or fractions.

  • Ratios compare two quantities.
  • Proportions state that two ratios are equal.
  • Can be used to find an unknown quantity when other parts are known.

Memory trick: Ratio's Rule: Set up fractions, cross-multiply, and solve!

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