The ratio of the number of boys and girls in | vedclass

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Question

(B) Total number of students = $720$.The ratio of boys to girls is $7: 5$.Let the number of boys be $7x$ and the number of girls be $5x$.Sum of parts

Vedclass · Accepted Answer

$120$

Vedclass · Answer

(B) Total number of students = $720$.The ratio of boys to girls is $7: 5$.Let the number of boys be $7x$ and the number of girls be $5x$.Sum of parts = $7 + 5 = 12$.$12x = 720 \implies x = 60$.Number of boys = $7 	imes 60 = 420$.Number of girls = $5 	imes 60 = 300$.To make the ratio $1: 1$,the number of girls must equal the number of boys.Required number of girls = $420$.Additional girls to be admitted = $420 - 300 = 120$.

The ratio of the number of boys and girls in a school of $720$ students is $7: 5$. How many more girls should be admitted to make the ratio $1: 1$?

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