In a class of 52 students, the number of boys is $\frac{ 6}{7}$ of the number of girls find out the number of boys.


Given:

Total students = 52

The number of boys = $\frac{ 6}{7}$ of the number of girls


To do: Here we have to find the number of boys.



Solution:


Let the number of girls be = $x$


Number of boys = $\frac{6}{7}\ \times$ Number of girls = $\frac{6x}{7}$



Now,


Total students = 52


$x\ +\ \frac{6x}{7}\ =\ 52$


$\frac{7x\ +\ 6x}{7}\ =\ 52$


$\frac{13x}{7}\ =\ 52$


$x\ =\ 52\ \times\ \frac{7}{13}$


$x\ =$ 28



So,


The number of girls = $x$ = 28


Number of boys = $\frac{6x}{7}$ = 24



Therefore, the number of boys is 24.

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Updated on: 10-Oct-2022

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