A manager is responsible for ordering supplies for a shaved ice shop. The shop's inventory starts with 4,500 paper cups, and the manager estimates that 70 of these paper cups are used each day. Based on this estimate, in how many days will the supply of paper cups reach 1,700?
Correct answer: B. 40
- A. 20
- B. 40
- C. 60
- D. 80
Explanation
Choice B is correct. It's given that the shop's inventory starts with 4,500 paper cups and that the manager estimates that 70 of these paper cups are used each day. Let x represent the number of days in which the estimated supply of paper cups will reach 1,700. The equation 4,500 - 70x = 1,700 represents this situation. Subtracting 4,500 from both sides of this equation yields -70x = -2,8 00. Dividing both sides of this equation by -70 yields x = 40. Therefore, based on this estimate, the supply of paper cups will reach 1,700 in 40 days.
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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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