SAT Math Multiple Choice Question 124: Answer and Explanation

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Question: 124

4. A group of 24 students was polled as to whether they enjoy biology class, chemistry class, both, or neither. The results are shown in the table below:

Biology Chemistry
Enjoy 14 18
Don't Enjoy 10 6

Given the above data, which of the following conclusions is true?

  • A. The ratio of those who enjoy biology class to those who enjoy chemistry class is 7:8.
  • B. The ratio of those who enjoy chemistry class to those who don't enjoy chemistry class is 9:4.
  • C. The ratio of those who enjoy biology class to those who don't enjoy chemistry class is 7:2.
  • D. The ratio of those who don't enjoy biology class to those who enjoy chemistry class is 5:9.

Correct Answer: D

Explanation:

D The best way to approach this question is through POE. According to the data in the table, the ratio of those who enjoy biology to those who enjoy chemistry is 14 to 18, which can be reduced to a ratio of 7 to 9; eliminate (A). The ratio of those who enjoy chemistry to those who don't enjoy chemistry is 18 to 6, which can be reduced to a ratio of 3 to 1; eliminate (B). The ratio of those who enjoy biology to those who don't enjoy chemistry is 14 to 6, which can be reduced to a ratio of 7 to 3; eliminate (C). The ratio of those who don't enjoy biology to those who enjoy chemistry is 10 to 18, which can be reduced to a ratio of 5 to 9; this matches (D).

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