Question
The average weight of 8 students in a class is 35 kg. If
the weight of 4 teachers is also included, then the new average weight of each person (teacher + student) in the class becomes 40 kg. Find the average weight of the four teachers.Solution
ATQ, Let the average weight of the four teachers be 'x' kg. So, total weight of the four teachers = 4 × x = '4x' kg. ATQ: 35 × 8 + '4x' = 40 × (8 + 4) Or, 280 + 4x = 40 × 12 Or, 280 + 4x = 480 Or, 4x = 480 - 280 = 200 Or, x = 200 ÷ 4 = 50 Therefore, the average weight of the four teachers is 50 kg.
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