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The ratio of the number of boys to the number of girls in a school of 770 students, is 7 : 4, if 50 more girls are admitted in the school, then how many more boys should be admitted so that the ratio of boys of that of the girls, become 5 : 3 ? 

The ratio of the number of boys to the number of girls in a school of 770 students, is 7 : 4, if 50 more girls are admitted in the school, then how many more boys should be admitted so that the ratio of boys of that of the girls, become 5 : 3 ?  Correct Answer 60

Given:

Total students in the school = 770.

The ratio of  number of boys to the number of girls in a school is 7 : 4.

Formula used:

Individual share in ratio = (individual part in ratio/total sum of ratio) × total sum

Calculation:

Number of boys in the school = (7/11) × 770 = 490

Number of girls in the school = (4/11) × 770 = 280

New number of girls in the school = 280 + 50 = 330

New ratio of number of boys to the number of girls = 5 : 3

Let new number of boys be 5y and new number of girls be 3y.

⇒ 3y = 330

⇒ y = 110

New number of boys = 5y = 5 × 110 = 550

Increment in the number of the boys = 550 - 490 = 60

∴ 60 more boys included to get required ratio.

 

 

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