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      Question

      The number of students in class 'A' is 100, and the ratio

      of the number of girls to boys is 2:3. If the average number of boys in classes A and B is 105, and the average number of girls is 95, find the total number of students in class B.
      A 300 Correct Answer Incorrect Answer
      B 290 Correct Answer Incorrect Answer
      C 310 Correct Answer Incorrect Answer
      D 280 Correct Answer Incorrect Answer
      E 320 Correct Answer Incorrect Answer

      Solution

      Number of girls in class A = (2/5) × 100 = 40
      Number of boys in class A = (3/5) × 100 = 60
      Number of boys in class B = 105 × 2 - 60 = 210 - 60 = 150
      Number of girls in class B = 95 × 2 - 40 = 190 - 40 = 150
      Total number of students in class B = 150 + 150 = 300

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