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Ratios, rates, proportional relationships, and units SAT question

Math · Problem-Solving and Data Analysis · Easy · Answer it here, explanation included.

The weight of an object on Venus is approximately the fraction 9 over 10 of its weight on Earth. The weight of an object on Jupiter is approximately the fraction 23 over 10 of its weight on Earth. If an object weighs 100 pounds on Earth, approximately how many more pounds does it weigh on Jupiter than it weighs on Venus?

ExplanationShow

Choice C is correct. The weight of an object on Venus is approximately nine tenths of its weight on Earth. If an object weighs 100 pounds on Earth, then the object’s weight on Venus is approximately nine tenths times 100, equals 90 pounds. The same object’s weight on Jupiter is approximately twenty three tenths of its weight on Earth; therefore, the object weighs approximately twenty three tenths times 100, equals 230 pounds on Jupiter. The difference between the object’s weight on Jupiter and the object’s weight on Venus is approximately 230 minus 90, equals 140 pounds. Therefore, an object that weighs 100 pounds on Earth weighs 140 more pounds on Jupiter than it weighs on Venus.

Choice A is incorrect because it is the weight, in pounds, of the object on Venus. Choice B is incorrect because it is the weight, in pounds, of an object on Earth if it weighs 100 pounds on Venus. Choice D is incorrect because it is the weight, in pounds, of the object on Jupiter.

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