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