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PERCENT OF THE 300 PEOPLE IN GROUP 1 AND THE 400 PEOPLE

游客2025-02-24  34
问题          PERCENT OF THE 300 PEOPLE IN GROUP 1 AND THE 400 PEOPLE
               IN GROUP 2 WHO HAVE SELECTED AILMENTS
[br] What is the ratio of the number of people in group 2 with the ailment sneezing and itchy eyes to the total number of people in both groups with the ailment sneezing and itchy eyes?
Give your answer as a fraction.
选项
答案 44/68
解析 In group 2, there are 400 people, 11% of whom have sneezing and itchy eyes. Therefore, in group 2, there are(0.11)(400)people, or 44 people, who have sneezing and itchy eyes. In group 1, there are 300 people, 8% of whom have sneezing and itchy eyes. Therefore, in group 1, there are(0.08)(300)people, or 24 people, who have sneezing and itchy eyes. So the total number of people in both groups who have sneezing and itchy eyes is 24 + 44, or 68. Thus, the ratio of the number of people in group 2 who have sneezing and itchy eyes to the total number of people in both groups who have sneezing and itchy eyes is 44/68. The correct answer is 44/68(or any equivalent fraction).
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