Question
The average weight of 16 people in a group is 75 kg. If
the heaviest person who weighs 95 kg is replaced by a new person, and the average weight of the group drops to 73 kg, what is the weight of the new person?Solution
Total weight of 16 people = 16 × 75 = 1200 kg. Let the weight of the new person be y kg. Removing the heaviest person (95 kg) and adding the new person: New total weight = 1200 - 95 + y New average weight with the new person is 73 kg 1200 - 95 + y = 73 × 16             1200 - 95 + y = 1168 y = 1168 - 1105 y = 63 = 63 kg
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