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Answer :
Final answer:
The average weight of a person in the class, given the average weights of men and women and the male/female ratio, is calculated to be 156 pounds.
Explanation:
To find the average weight of a person in the class, we combine the information given about the average weights of men and women, and the male/female ratio. Let's denote the number of men as 3x and the number of women as 2x from the ratio 3:2. Therefore, the total weight of men in the class is 3x * 180 pounds and the total weight of women is 2x * 120 pounds.
Summing these totals gives us the total weight in the class: 540x + 240x = 780x pounds. The total number of people in the class is 3x + 2x = 5x.
Hence, the average weight of a person in the class is the total weight divided by the total number of people, which is 780x/5x = 156 pounds. So the correct answer is (a) 156 pounds.
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