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      Question

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

      girls is 15:11. If 3 boys joined the class and 1 girl left the class, then the ratio becomes 7:5. Find the actual number of girls in the class.
      A 99 Correct Answer Incorrect Answer
      B 110 Correct Answer Incorrect Answer
      C 121 Correct Answer Incorrect Answer
      D 132 Correct Answer Incorrect Answer
      E 143 Correct Answer Incorrect Answer

      Solution

      Let initially the number of boys and girls be 15x and 11x, respectively.
      (15x + 3) : (11x тИТ 1) = 7 : 5
      Or, 5(15x + 3) = 7(11x тИТ 1)
      Or, 75x + 15 = 77x тИТ 7
      Or, 2x = 22 тЗТ x = 11
      Therefore, number of girls = 11 ├Ч 11 = 121┬а

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