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    Question

    The total number of students to the total number of

    teachers in Universities A and B is in the ratio 25:4. Additionally, the number of teachers in University A to those in University B is in the ratio 3:1. Given that the total number of students across both universities is 5000, determine the difference in the number of teachers between University A and University B.
    A 650 Correct Answer Incorrect Answer
    B 180 Correct Answer Incorrect Answer
    C 260 Correct Answer Incorrect Answer
    D 400 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ;

    Total students : total teachers = 25 : 4

    Total students = 5000

    So total teachers = (4/25) Ɨ 5000 = 800

    Ratio of teachers in University A : B = 3 : 1

    Difference = 800 Ɨ (3āˆ’1)/(3+1) = 400

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