Question
The average weight of 12 students in a dance class is 45
kg. If the weight of 3 instructors is also included, then the new average weight of each person (instructor + student) in the dance class becomes 50 kg. Find the average weight of the three instructors.Solution
ATQ, Let the average weight of the three instructors be 'x' kg. So, total weight of the three instructors = 3 Ă— x = '3x' kg. ATQ: 45 Ă— 12 + '3x' = 50 Ă— (12 + 3) Or, 540 + 3x = 50 Ă— 15 Or, 540 + 3x = 750 Or, 3x = 750 - 540 = 210 Or, x = 210 Ă· 3 = 70 Therefore, the average weight of the three instructors is 70 kg.
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