Question
In a class, the ratio of number of boys to number of
girls is 12:11. If 3 boys joined the class and 1 girl left the class, then the ratio becomes 7:6. Find the actual number of girls in the class.Solution
Let initially the number of boys and girls be 12x and 11x, respectively.
(12x + 3) : (11x − 1) = 7 : 6
Or, 6(12x + 3) = 7(11x − 1)
Or, 72x + 18 = 77x − 7
Or, 5x = 25 ⇒ x = 5
Therefore, number of girls = 11 × 5 = 55
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