Question
Ratio of number of boys to girls in a school is 3:4
respectively. Next year, 30 boys and 40 girls left the school and 150 boys and 160 girls joined the school. If ratio of number of boys to girls now becomes 4:5, then find the number of boys now.Solution
Let the initial number of boys and girls be '3n' and '4n' respectively. (3n - 30 + 150) :(4n - 40 + 160) = 4:5 Or, 5 x (3n + 120) = 4 x (4n + 120) Or, 15n + 600 = 16n + 480 Or, 'n' = 120 Required number of boys = 3 x 120 - 30 + 150 = 480
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