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In a school, there were 1582 students and the ratio of the number of the boys and girls was 4:3. After…

With a 4:3 split of 1582, boys are 904 and girls are 678. After 30 girls join there are 708 girls, and \(\frac{904-x}{708} = \frac{7}{6}\) gives \(904-x = 826\). Hence \(x =…

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In a school, there were 1582 students and the ratio of the number of the boys and girls was 4:3. After few days, 30 girls joined the school but few boys left the school and as a result, the ratio of the boys and girls became 7:6. The number of boys who left the school is?

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Correct answer D

With a 4:3 split of 1582, boys are 904 and girls are 678. After 30 girls join there are 708 girls, and 904−x708=76\frac{904-x}{708} = \frac{7}{6} gives 904−x=826904-x = 826. Hence x=78x = 78 boys left.

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