PSAT Math Multiple-Choice Question 213: Answer and Explanation
Question: 213
An object's weight is dependent upon the gravitational force being exerted upon the object. This is why objects in space are weightless. If 1 pound on Earth is equal to 0.377 pounds on Mars and 2.364 pounds on Jupiter, how many more pounds does an object weighing 1.5 tons on Earth weigh on Jupiter than on Mars? (Note: 1 ton = 2,000 pounds.)
- A. 1,131
- B. 4,092
- C. 5,961
- D. 7,092
Correct Answer: C
Explanation:
C
Difficulty: Medium
Category: Problem Solving and Data Analysis/Rates, Ratios, Proportions, and Percents
Getting to the Answer: The factor-label method (canceling units) is a great strategy for this question. You're starting with tons, so work from that unit, arranging conversions so that units cancel. To keep units straight, use an E for Earth, an M for Mars, and a J for Jupiter:
The object weighs 1,131 pounds on Mars and 7,092 pounds on Jupiter, so it weighs 7,092 - 1,131 = 5,961 more pounds on Jupiter. (C) is correct.
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