Question
In a class, 1/3 of the students are girls and rest are
boys. If 3/5 of the girls and 1/5 of the boys are absent, what part of the total number of students are present?Solution
Let the total number of students in a class be x ∴ According to the question, Number of girls = 1/3 x and number of boys = x - 1/3 x = 2/3 x Number of girls who are absent = 3/5 ×1/3 x Thus, girls present = 2/5 ×1/3 x = 2/15 x Number of boys who are absent = 1/5 ×2/3 x Thus, boys present = 4/5 ×2/3 x= 8/15 x Total present = 2/15 x+ 8/15 x= 10/15 x= 2/3 x
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