The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally?
Correct answer: A. 4
- A. 4
- B. 5
- C. 6
- D. 7
Explanation
If the original number of boys is n, their total weight is 30n kg. After the 35 kg boy joins, the total is 30n + 35 kg and the average is 31 kg, so 30n + 35 = 31(n + 1), giving n = 4 boys. The likely trap is 5 boys, which results from not accounting correctly for the new total number of boys.
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An average represents the total of a set of values divided by the number of values, and a weighted average gives different importance to different groups. Problems involve missing values, combined averages, replacement of observations, and changes in the average, so the total and count must be tracked separately.
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