In a class, 60% of the total number of students are boys and there are 14 girls.

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 $=35$

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