Question
The boys and girls in a college are in the ratio 3:2. If
15% of the boys and 25% of the girls are adults, then adults are approximately how much % less than the non-adults in the college?Solution
Let the number of boys and girls in the college be 3x and 2x, respectively. Number of adult boys = 15% of 3x = (15/100) × 3x = 0.45x Number of adult girls = 25% of 2x = (25/100) × 2x = 0.50x Total number of adults = 0.45x + 0.50x = 0.95x Total number of students = 3x + 2x = 5x So, number of non-adults = 5x - 0.95x = 4.05x Required percentage = {(4.05x - 0.95x)/4.05x} × 100 = (3.10/4.05) × 100 = 76.54% So, adults are approximately 77% less than non-adults in the college.
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