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There are 1250 total students in 5 different classes. The number of students in Class I is 50 less than Class II. Class IV has 50 more students than Class II. The average number of students in Class V is 250. Class III has 10% fewer students than Class I. What is the ratio of the total number of students in Class V to the total number of students in Class III?

1. 13:15
2. 16:9
3. 11:12
4. 10:9

Correct answer: 16:9

Solution

Let Class II be x. Then Class I = x - 50, Class IV = x + 50, Class III = 90% of Class I, and Class V = 250. Using the total 1250, we get x + (x - 50) + (0.9x - 45) + (x + 50) + 250 = 1250, which gives x = 300. So Class I = 250 and Class III = 225, hence the ratio of Class V to Class III is 250:225 = 10:9. However, the provided answer key says 16:9, indicating the question or key likely contains an error.

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