Question
A school has a total of 600 students. The ratio of boys
to girls is 3:5. If 40% of the boys and 20% of the girls participated in a sports event, how many students did not participate?Solution
Total students = 600. Let boys = 3x and girls = 5x → 3x + 5x = 600 8x = 600 → x = 75. Boys = 3 × 75 = 225, Girls = 5 × 75 = 375. Boys participated = 40% of 225 = 90 Girls participated = 20% of 375 = 75. Total participated = 90 + 75 = 165 Total not participating = 600 - 165 = 435. Answer: c) 435.
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