One gallon of paint will cover 220 square feet of a surface. A room has a total wall area of w square feet. Which equation represents the total amount of paint P, in gallons, needed to paint the walls of the room twice?
Correct answer: A. P = w/110
- A. P = w/110
- B. P = 440w
- C. P = w/220
- D. P = 220w
Explanation
Choice A is correct. The problem specifies that the walls need to be painted twice, covering 2w square feet. By dividing the total area to be painted by the coverage of one gallon (220 square feet), the total gallons needed is calculated as P = 2w/220, which simplifies to P = w/110. Choices B and D are incorrect as they incorrectly multiply the area by the coverage rate instead of dividing. Choice C is inaccurate as it only considers painting the walls once, not twice.
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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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