Question

A certain school has 300 students, 142 of whom are boys. It has 30 teachers, 12 of whom are men. What percent of the total number of students and teachers in the school is female?

Answer 1

$$\begin{gathered} \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{female}\mathrm{student}s=300-142 \\ =158 \\ \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{female}\mathrm{teachers}=30-12 \\ =18 \\ \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{females}=158+18 \\ =176 \\ \mathrm{Total}\mathrm{population}\mathrm{of}\mathrm{the}\mathrm{school}=300+30 \\ =330 \\ \mathrm{Percentage}\mathrm{of}\mathrm{females}=\frac{176}{330}\times 100 \\ =\frac{160}{3}\%\mathrm{or}53.33\% \end{gathered}$$