Question
In class βCβ, the number of girls is 25% more than
that of boys while in class βDβ the number of girls is 40% more than that of boys. If the total number of students in class βCβ and βDβ is 360 and 420, respectively, then find the difference between the number of girls in classes βCβ and βDβ.Solution
ATQ, Let the total number of boys in class βCβ = β10aβ Then, the total number of girls in class βCβ = 1.25 Γ 10a = β12.5aβ Let the total number of boys in class βDβ = β10bβ Then, the total number of girls in class βDβ = 1.40 Γ 10b = β14bβ 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 β 12.5a = 14 Γ 17.5 β 12.5 Γ 16 = 245 β 200 = 45
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