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The average weight of 30 students is 50 kg. If the weight of a teacher is included, the average weight increases by 1 kg. Find the weight of the teacher (in kg).

1. 81
2. 84
3. 82
4. 88

Correct answer: 81

Solution

The total weight of 30 students is 30 × 50 = 1500 kg. After including the teacher, the average becomes 51 kg for 31 people, so the new total is 31 × 51 = 1581 kg. Therefore, the teacher’s weight is 1581 − 1500 = 81 kg.

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