If 2(x-y)=3y, what is the ratio x/y?
Correct answer: C. 5/2
- A. 2/5
- B. 4/3
- C. 5/2
- D. 8/3
Explanation
Start with the equation: 2(x-y) = 3y. Expand the left side to get 2x - 2y = 3y. Next, add 2y to both sides: 2x = 5y. Divide both sides by y to isolate x: x/y = 5/2. Thus, the correct ratio is 5/2, which corresponds to Option C.Other options are incorrect due to errors in algebraic manipulation or misinterpretation of the equation. Option A (2/5) and Option B (4/3) arise from incorrect steps in rearranging and solving. Option D (8/3) results from a miscalculation.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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