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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) Γ— 400 = 90

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

      Difference = 90 Γ— (3βˆ’2)/(3+2) = 18

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