SAT Math Multiple Choice Question 673: Answer and Explanation

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Question: 673

13. The Glenville Giants have played a total of 120 games and have a win-to-loss ratio of 2 to 3. How many more games have they lost than won?

  • A. 24
  • B. 30
  • C. 40
  • D. 48

Correct Answer: A

Explanation:

A

Problem Solving/Data Analysis (ratios) MEDIUM

If the Giants' win-loss is 2:3, then they won 2n games and lost 3n games, where n is some unknown integer. (For instance, perhaps they won 2 games and lost 3, in which case n = 1, or perhaps they won 20 games and lost 30, in which case n = 10, etc.) This means that the total number of games they played is 2n + 3n = 5n. Since they won 120 games,

5n = 120

Divide by 5:

n = 24

Therefore they won 2n = (2)(24) = 48 games and lost 3n = (3)(24) = 72 games, and so they lost 72 - 48 = 24 more games than they won.

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