If 75% ofo 68 is the same as 85% of n, what is the value of n?
Correct answer: A. 60
- A. 60
- B. 65
- C. 70
- D. 30
Explanation
To solve the problem, first understand the statement '75% of 68 is the same as 85% of n'. This translates to the equation 0.75 × 68 = 0.85 × n. Converting percentages to decimals, the equation becomes:0.75 × 68 = 0.85 × nCalculate 0.75 × 68 which equals 51. Now the equation is 0.85 × n = 51. Divide both sides by 0.85 to isolate n:n = 51 / 0.85 = 60Thus, n = 60 is the correct answer. The other options (65, 70, and 30) do not satisfy the equation when substituted for n.
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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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