Question
In class ‘C’, the number of girls is 25% more than
that of boys while in class ‘D’ the number of girls is 40% more than that of boys. If the total number of students in class ‘C’ and ‘D’ is 360 and 420, respectively, then find the difference between the number of girls in classes ‘C’ and ‘D’.Solution
ATQ, Let the total number of boys in class ‘C’ = ‘10a’ Then, the total number of girls in class ‘C’ = 1.25 × 10a = ‘12.5a’ Let the total number of boys in class ‘D’ = ‘10b’ Then, the total number of girls in class ‘D’ = 1.40 × 10b = ‘14b’ According to the question, 10a + 12.5a = 360 Or, 22.5a = 360 Or, a = 360 / 22.5 = 16 And, 10b + 14b = 420 Or, 24b = 420 Or, b = 420 / 24 = 17.5 Required difference = 14b – 12.5a = 14 × 17.5 – 12.5 × 16 = 245 – 200 = 45
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