Question
In a college, the ratio of male to female students is
5:3. If there were 10 additional males and 14 additional females, the ratio would change to 3:2. Find the total number of students in the college.Solution
ATQ,
Let the number of male and female students be '5n' and '3n' respectively. ATQ; (5n + 10) : (3n + 14) = 3 : 2 Or, 2 × (5n + 10) = 3 × (3n + 14) Or, 10n + 20 = 9n + 42 Or, 'n' = 22 Therefore, total number of students = 5n + 3n = 8n = 8 × 22 = 176
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