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Answer :
Final answer:
To find the weight of the 7th person, we first calculated the total weight of the first 6 people (1038 pounds) and then the total weight with the 7th person (1155 pounds). Subtracting these gives the 7th person's weight: 117 pounds.
Explanation:
The question asks how much did the 7th person weigh after they got on an elevator, changing its average weight. First, we calculate the total weight of the first 6 people by multiplying their average weight by 6. The total weight is 6 × 173 pounds = 1038 pounds. After the 7th person gets on, the new average weight for 7 people is 165 pounds, so the total weight is 7 × 165 pounds = 1155 pounds. The difference between these two sums, 1155 pounds - 1038 pounds, gives us the weight of the 7th person, which is 117 pounds.
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