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      Question

      In a class, the ratio of number of boys to number of

      girls is 13:9. If 2 boys joined the class and 6 girls left the class, then the ratio becomes 5:3. Find the actual number of girls in the class.
      A 45 Correct Answer Incorrect Answer
      B 48 Correct Answer Incorrect Answer
      C 54 Correct Answer Incorrect Answer
      D 60 Correct Answer Incorrect Answer

      Solution

      Let initially the number of boys and girls be 13x and 9x, respectively.
      (13x + 2) : (9x − 6) = 5 : 3
      Or, 3(13x + 2) = 5(9x − 6)
      Or, 39x + 6 = 45x − 30
      Or, 6x = 36 ⇒ x = 6
      Therefore, number of girls = 9 × 6 = 54 

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