Multiple choice

In a History test, the boys' average is 86 points and the girls' average is 80 points. If the overall average of the class is 82 points, then what is the ratio of the number of boys to that of girls in the class?

  1. 2 : 3

  2. 1 : 3

  3. 2 : 1

  4. 1 : 2

  5. 3 : 4
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D Correct answer
AI explanation

Using the alligation method, the ratio of the number of boys to girls is proportional to the difference between the girls' average and the overall average versus the difference between the overall average and the boys' average. The calculation is (82 - 80) to (86 - 82), which is 2 to 4. Simplifying this ratio gives 1 to 2.

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