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54 is 120% of k . Which of the following proportions could be used to solve the above expression?

Correct answer: D. 120/100 = 54/k

  • A. 100/120 = 54/k
  • B. 54/100 = 120/k
  • C. 100/54 = 120/k
  • D. 120/100 = 54/k

Explanation

To solve the problem of finding what number (k) 54 is 120% of, we first convert 120% into a fraction: 120% = 120/100.We set up the proportion: 120/100 = 54/k, which states that 54 is 120% of k.By cross-multiplying and solving this equation, we can find the value of k.The other options are incorrect because they either swap the roles of values or incorrectly set up the percentage to base relationship.

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About Quantitative Reasoning

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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