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    Question

    The total number of teachers to the total number of

    students in Schools X and Y is in the ratio 40:9. Additionally, the number of students in School X to those in School Y is in the ratio 3:2. Given that the total number of teachers across both schools is 400, determine the difference in the number of students between School X and School Y.
    A 25 Correct Answer Incorrect Answer
    B 18 Correct Answer Incorrect Answer
    C 26 Correct Answer Incorrect Answer
    D 39 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ;

    Total teachers : total students = 40 : 9

    Total teachers = 400

    So total students = (9/40) × 400 = 90

    Ratio of students in School X : Y = 3 : 2

    Difference = 90 × (3−2)/(3+2) = 18

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