Question
In a school, the average number of books that some
numbers of boys have is 120 and average number of books that some numbers of girls have is 85. If each boy has 5 books then the average numbers of books with all the students become 100. The total number of boys is what percentage of the total number of students in that school?Solution
Let the total number of boys be x. The total number of girls be y. The total number of books boys have = 120x The total number of books the girls have = 85y If each of the boy have 5 books, then the remaining number of books = 120x – 5x = 115x The sum of the all the books = 100(x + y) = 115x + 85y y = x x : y = 1 : 1 Required % = (1/2) × 100 = 50%
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