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      Question

      The number of students in class 'A' is 140, and the

      ratio of girls to boys is 9:5. If the average number of boys in classes A and B is 160, and the average number of girls is 150, find the total number of students in class B.
      A 480 Correct Answer Incorrect Answer
      B 470 Correct Answer Incorrect Answer
      C 490 Correct Answer Incorrect Answer
      D 460 Correct Answer Incorrect Answer

      Solution

      Number of girls in class A = (9/14) × 140 = 90
      Number of boys in class A = (5/14) × 140 = 50
      Number of boys in class B = 160 × 2 - 50 = 320 - 50 = 270
      Number of girls in class B = 150 × 2 - 90 = 300 - 90 = 210
      Total number of students in class B = 270 + 210 = 480

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