Question
The average weight of a group of 18 people is 35 kg. Six
people leave the group, and the average weight of the remaining people increases by 3 kg. Find the average weight of the new group of people who joined the group to replace those who left, assuming the overall average weight returns to 40 kg.Solution
Total weight of 18 people = 18 × 35 = 630 kg Total weight of remaining 12 people = 12 × 38 = 456 kg When the new group of 6 members joined, the total weight of 18 people = 18 × 40 = 720 kg Total weight of new 6 people = 720 - 456 = 264 kg Required average = 264 / 6 = 44 kg
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