A teacher is creating an assignment worth 70 points. The assignment will consist of questions worth point and questions worth 3 points. Which equation represents this situation, where x represents the number of -point questions and y represents the number of 3-point questions?
Correct answer: D. x +3y = 70
- A. 4xy = 70
- B. 4(x + y ) = 70
- C. 3x + y = 70
- D. x +3y = 70
Explanation
Choice D is correct. Since x represents the number of 1-point questions and y represents the number of 3-point questions, the assignment is worth a total of 1.x + 3.y, or x + 3y, points. Since the assignment is worth 70 points, the equation x + 3y = 70 represents this situation.
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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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