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?

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{total}\mathrm{number}\mathrm{of}\mathrm{students}\mathrm{be}\mathrm{x}.\mathrm{Then},\mathrm{we}\mathrm{have}: \\ \mathrm{Percentage}\mathrm{of}\mathrm{boys}=60\% \\ \mathrm{Percentage}\mathrm{of}\mathrm{girls}=40\% \\ \therefore \mathrm{Number}\mathrm{of}\mathrm{girls}=40\%\mathrm{of}\mathrm{x} \end{gathered}$$
$$\begin{gathered} =\left(x\times \frac{40}{100}\right) \\ =\frac{40x}{100} \end{gathered}$$
$$\begin{gathered} \mathrm{Now},\frac{40x}{100}=14 \\ \Rightarrow x=\left(14\times \frac{100}{40}\right) \\ \Rightarrow x=35 \end{gathered}$$

$\therefore \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{students}=35$