In a certain college,the number of girls is t | vedclass

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Question

(A) Let the total number of students be $x$.Since the number of girls is twice the number of boys,let the number of boys be $b$ and girls be $2b$.Tota

Vedclass · Accepted Answer

$\frac{7}{40}$

Vedclass · Answer

(A) Let the total number of students be $x$.Since the number of girls is twice the number of boys,let the number of boys be $b$ and girls be $2b$.Total students $x = b + 2b = 3b$,so $b = \frac{x}{3}$ and girls $= \frac{2x}{3}$.Number of girls who took part in the camp $= \frac{1}{5} 	imes \frac{2x}{3} = \frac{2x}{15}$.Number of boys who took part in the camp $= \frac{1}{8} 	imes \frac{x}{3} = \frac{x}{24}$.Total students who took part in the camp $= \frac{2x}{15} + \frac{x}{24}$.To add these,find the least common multiple of $15$ and $24$,which is $120$.Total $= \frac{16x + 5x}{120} = \frac{21x}{120} = \frac{7x}{40}$.Thus,the fraction of total students who took part is $\frac{7}{40}$.

In a certain college,the number of girls is twice the number of boys. $\frac{1}{5}$ of the girls and $\frac{1}{8}$ of the boys took part in a social camp. What part of the total number of students took part in the camp?

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