Question:
In a class, 60% of the total number of students are boys and there are 14 girls. How many students are there in the class?
Solution:
Let the total number of students be $\mathrm{x}$. Then, we have:
Percentage of boys $=60 \%$
Percentage of girls $=40 \%$
$\therefore$ Number of girls $=40 \%$ of $\mathrm{x}$
$=\left(x \times \frac{40}{100}\right)$
$=\frac{40 x}{100}$
Now, $\frac{40 x}{100}=14$
$\Rightarrow x=\left(14 \times \frac{100}{40}\right)$
$\Rightarrow x=35$
$\therefore$ Total number of students $=35$