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      Question

      In a classroom, the ratio of boys to girls is 3:1. The

      average marks of all the girls are given as z - 6 , while the overall average marks for all the students in the class are z + 3 . Determine the average marks of all the boys in the class.
      A 43 Correct Answer Incorrect Answer
      B 54 Correct Answer Incorrect Answer
      C (z - 1) Correct Answer Incorrect Answer
      D (z + 6) Correct Answer Incorrect Answer
      E cannot be determined Correct Answer Incorrect Answer

      Solution

      Let the number of boys and number of girls in the class be '3a' and 'a', respectively. Total marks of the class = 4a X (z + 3) = 4az + 12a Total marks of all girls = a X (z - 6) = az - 6a So, total marks of all boys = (4az + 12a) - (az - 6a) = (3az + 18a) Therefore, average marks of boys = (3az + 18a) /3a = (z + 6)

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