The average weight of 35 students in a class increases by 2kg, when one of the students weighing 35kg is replaced by a teacher. What is the weight of the teacher?
- A101kg
- B107kg
- C103kg
- D105kg
Solution & Step-by-step Explanation
When a person is replaced, the weight of the new person can be calculated using the formula:
Weight of New Person=Weight of Replaced Person+(Total Number of People×Increase in Average)
Given:
Weight of replaced student = 35kg
Total number of individuals (students + teacher replacing one student) = 35
Increase in average weight = 2kg
Weight of Teacher=35+(35×2)
Weight of Teacher=35+70=105kg
Weight of New Person=Weight of Replaced Person+(Total Number of People×Increase in Average)
Given:
Weight of replaced student = 35kg
Total number of individuals (students + teacher replacing one student) = 35
Increase in average weight = 2kg
Weight of Teacher=35+(35×2)
Weight of Teacher=35+70=105kg