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      Question

      Average marks scored by each boy in a class were 75,

      whereas that by each girl were 85. If the number of boys is 50% more than the number of girls, then find the average score of each student.
      A 91 Correct Answer Incorrect Answer
      B 85 Correct Answer Incorrect Answer
      C 82 Correct Answer Incorrect Answer
      D 79 Correct Answer Incorrect Answer
      E 74 Correct Answer Incorrect Answer

      Solution

      Let the number of girls = 2x.
      Thus, the number of boys = 3x. Total marks of boys = 3x ├Ч 75 = 225x
      Total marks of girls = 2x ├Ч 85 = 170x Total marks = 225x + 170x = 395x
      Total students = 2x + 3x = 5x Average = 395x ├╖ 5x = 79

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