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The average weight of 27 students of a class is 53 kg. If the weight of the teacher is included, the average rises by 700 grams. Find the weight (in k
Question

The average weight of 27 students of a class is 53 kg. If the weight of the teacher is included, the average rises by 700 grams. Find the weight (in kg) of the teacher.

A.

65.5

B.

78.3

C.

62.8

D.

72.6

Correct option is D

Given:
The average weight of 27 students of a school is 53 kg.
Solution:
Total weight of 27 students = 27 × 53 = 1431 kg
The new average weight of 28 people (27 students + 1 teacher) becomes:
New average weight = 53 + 0.7 = 53.7 kg
Total weight of 28 people = 28 × 53.7 = 1503.6 kg
Weight of teacher = Total weight of 28 people - Total weight of 27 students
Weight of teacher = 1503.6 kg - 1431 kg = 72.6 kg

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