If 20 machines produce 1,240 printers in a day, how many more machines are needed to produce 1,984 printers in a day?
Correct answer: A. 12
- A. 12
- B. 20
- C. 24
- D. 32
Explanation
To determine how many more machines are needed, set up a proportion based on the given information. We know that 20 machines produce 1,240 printers in a day. To produce 1,984 printers, let x be the additional machines needed: 20 machines / 1,240 printers = (20 + x) machines / 1,984 printers Cross-multiply to solve for x: 20 * 1,984 = (20 + x) * 1,240 39,680 = 24,800 + 1,240x 14,880 = 1,240x x = 14,880 / 1,240 = 12 Therefore, 12 more machines are needed. Option A is correct. Options B, C, and D represent incorrect calculations or assumptions about the production increase required.
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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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