The average weight of 40 students of a class is 52 kg. If the weight of the teacher is included, the average weight decreases by 200 gms. What is the weight of the teacher?

Question

Answer

Given Information:
- Total number of students = 40
- Average weight of 40 students = 52 kg
- Decrease in average weight when teacher's weight is included = 200 g

Calculating the Total Weight of 40 Students:
- Total weight of 40 students = 40 * 52 = 2080 kg

Calculating the Total Weight of 40 Students and the Teacher:
- Let the weight of the teacher be x kg
- Total weight of 40 students and the teacher = 40 * 52 + x
- According to the given information, the average weight decreases by 200 g when the teacher's weight is included
- So, (2080 + x) / 41 = 52 - 0.2

Solving the Equation:
- (2080 + x) / 41 = 51.8
- 2080 + x = 41 * 51.8
- 2080 + x = 2123.8
- x = 2123.8 - 2080
- x = 43.8

Therefore, the weight of the teacher is 43.8 kg.

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