SAT Math Multiple Choice Question 685: Answer and Explanation

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Question: 685

10. For nonzero numbers w and y, if w is 50% greater than y, then what is the ratio of w-2 to y-2?

  • A. 4 to 9
  • B. 2 to 3
  • C. 9 to 4
  • D. 4 to 1

Correct Answer: A

Explanation:

A

Algebra (expressing quantities) MEDIUM-HARD

It may be easiest to choose number for w and y. Assume y = 4. If w is 50% greater than y, then w = 1.5(4) = 6. Therefore w-2 = 6-2 = 1/36, and y-2 = 4-2 = 1/16. Therefore the ratio of w-2 to y-2 is

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