Question
In a school, the number of boys and girls are in the
ratio 7 : 5. 25% of the boys and 40% of the girls participate in a cultural programme. The total number of participants is 150. What is the total number of students in the school?Solution
Let number of boys = 7k, girls = 5k. Total students = 12k. Participants: Boys: 25% of 7k = (1/4)×7k = 1.75k Girls: 40% of 5k = (2/5)×5k = 2k Total participants = 1.75k + 2k = 3.75k Given 3.75k = 150 k = 150 / 3.75 = 40 So total students = 12k = 12 × 40 = 480.
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