Tim has 140 paperback and hard cover copies in his book shelf. If the hard cover copies do not exceed one sixth the number of paperback copies, what is the minimum number of paperback copies in Tim's book shelf?
Correct answer: D. 120
- A. 114
- B. 116
- C. 118
- D. 120
Explanation
Number of paperback copies = x Number of hardcover copies ≤ x/6. (Maximum Number of hardcover copies = x/6) Total number of books = 140 Therefore, we can write the equation: x + (x/6) = 140 Multiplying both sides by 6, we get: 6x + x = 840 7x = 840 x = 120 Therefore, the minimum number of paperback copies on Tim's bookshelf is 120.
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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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