Multiple choice

In a society, there were a total of 14 people, who worked as teachers, and 10 people, who worked as sales representatives. The total average of the number of tasks done by them was 31. If the average number of tasks done by the teachers was 36, then what was the average number of tasks done by the sales representatives?

  1. 24

  2. 25

  3. 26

  4. 27

  5. 28
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A Correct answer
Explanation

Total tasks = (14 * 36) + (10 * S) = (14 + 10) * 31. 504 + 10S = 744. 10S = 240, so S = 24.

AI explanation

The total number of people is 14 + 10 = 24, so the total tasks completed by everyone is 24 times 31, or 744. The teachers completed 14 times 36 tasks, which equals 504 tasks. The sales representatives completed the remaining 744 - 504 = 240 tasks. By the weighted average method, the average number of tasks done by the 10 sales representatives is 240 / 10, which equals 24.

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