Question
In a class, 3/5 of the students are girls and rest are
boys. If 2/9 of the girls and 1/4 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 = 3/5 x and number of boys = x - 3/5 x = 2/5 x Number of girls who are absent = 3/5 × 2/9 x = 6x/45 and number of boys who are absent = 2/5 × 1/4 x = x/10 ∴ Total number of students who are present = x - 6x/45 - x/10 = (90x - 12x - 9x)/90 = 69x/90 = 23x/30 ∴ The 23/30 part of the students are present in the class.
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