Question
Average marks scored by each boy in a class were 60, whereas that by each girl were 75. If the number of boys is 50% more than the number of girls, then find the average score of each student.
Solution
Let the number of girls = 2x.
Thus, the number of boys = 3x. Total marks of boys = 3x × 60 = 180x
Total marks of girls = 2x × 75 = 150x Total marks = 180x + 150x = 330x
Total students = 2x + 3x = 5x Average = 330x ÷ 5x = 66
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