The ratio of 1 ¾ to 2 ½ is equal to the ratio of 14 to what number?
Correct answer: B. 20
- A. 18
- B. 20
- C. 22
- D. 24
Explanation
To solve the problem, start by converting the mixed numbers to improper fractions. 1 ¾ becomes 7/4, and 2 ½ becomes 5/2. Set up the ratio as 7/4 : 5/2 = 14 : x. Cross-multiply to find x: (7/4)x = (5/2) * 14. Simplify to find x = (5/2) * 14 / (7/4) = (5 * 14) / (2 * 7/4). Simplifying further gives x = 20. Thus, the correct answer is Option B: 20. The other options result from errors in conversion, cross-multiplication, or simplification.
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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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