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The table below shows the total number of students and the percentage of boys in four schools: A: 420 students, 58% boys B: 450 students, 70% boys C: 350 students, 65% boys D: 550 students, 45% boys Find the ratio of the average number of girls in schools B and D together to the average number of boys in schools B and C together.

1. 8:15
2. 10:17
3. 9:20
4. 8:13

Correct answer: 10:17

Solution

Compute girls in B and D, and boys in B and C from the given percentages. Then take the average of the two girls counts and the average of the two boys counts, and form the ratio. Simplifying gives 10:17.

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