SAT Math Multiple Choice Question 673: Answer and Explanation
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
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.