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  3. Of the people in a certain survey, 58 percent were at most 40 years old and 70 p

Of the people in a certain survey, 58 percent were at most 40 years old and 70 p

游客2024-01-12  50
问题 Of the people in a certain survey, 58 percent were at most 40 years old and 70 percent were at most 60 years old. If 252 of the people in the survey were more than 40 years old and at most 60 years old, what was the total number of people in the survey?
选项 A、1900
B、2100
C、2400
D、2700
E、3000
答案 B
解析 In this question, it is given that of the people surveyed, 58% were at most 40 years old and 70% were at most 60 years old. Therefore, 70% — 58%, or 12%, of the people surveyed were more than 40 years old and at most 60 years old, and you are given that 252 people are in this group. Let x be the total number of people in the survey. Then 12% of x is 252, that is, 0.12x = 252, and so x == 2,100. Therefore, the total number of people in the survey was 2,100, and the correct answer is Choice B.
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