Question
In a town of 2400 people, the ratio of boys to girls is 3:5. If 200 more girls moved into the town, the ratio of boys to girls becomes 18:x. Find the value of (18 β
x).
Solution
ATQ,
Number of boys in town = {3 / (3 + 5)} Γ 2400 = 900
Number of girls in town = {5 / (3 + 5)} Γ 2400 = 1500
According to question,
900 : (1500 + 200) = 18 : x
900 : 1700 = 18 : x
18 : 34 = 18 : x
Therefore, x = 34
So, (18 β x) = 18 β 34 = β16
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