Multiple choice

Both primary and secondary level students take part in a school level maths competition. The average score of the primary level students is 62 and the average score of the secondary level students is 76. If the average score of all the students is 70, then what is the ratio of the primary level students to the secondary level students in the competition?

  1. 3 4

  2. 4 3

  3. 5 3

  4. 3 5

  5. 1 3
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A Correct answer
AI explanation

Using the method of alligation for averages, the ratio of primary to secondary students is the difference between the secondary average and the overall average to the difference between the overall average and the primary average. The difference between 76 and 70 is 6, and the difference between 70 and 62 is 8. The ratio is 6 to 8, which simplifies to 3:4.

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