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The ratio of the number of boys to the number of girls in a school of 640 students, is 5 : 3. If 30 more girls are admitted in the school, then how many more boys should be admitted so that the ratio of boys to that of the girls, becomes 14 : 9.

The ratio of the number of boys to the number of girls in a school of 640 students, is 5 : 3. If 30 more girls are admitted in the school, then how many more boys should be admitted so that the ratio of boys to that of the girls, becomes 14 : 9. Correct Answer 20

Total students = 640

Ratio of boys to girls = 5 : 3

Number of boys = × 640 = 400

Number of girls = 640 - 400 = 240

Let x boys admitted in the school.

According to the question

(400 + x)/(240 + 30) = 14/9

⇒ 400 + x = × 270

⇒ x = 420 - 400

⇒ x = 20

∴ 20 students admitted in the school.

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