Question

The following pie-chart shows the number of students admitted in different faculties of a college. If 1000 students are admitted in Science answer the following:


(i) What is the total number of students?
(ii) What is the ratio of students in science and arts?

Answer 1

(i)
$$\begin{gathered} \mathrm{Students}\mathrm{in}\mathrm{science}=\frac{\mathrm{Central}\mathrm{angle}\mathrm{of}\mathrm{the}\mathrm{corresponding}\mathrm{sector}\times \mathrm{Total}\mathrm{students}}{360°} \\ 1000=\frac{100°\times \mathrm{Total}\mathrm{students}}{360°} \\ \therefore \mathrm{Total}\mathrm{students}=3600 \end{gathered}$$

(ii)
$$\begin{gathered} \mathrm{Students}\mathrm{in}\mathrm{arts}=\frac{\mathrm{Central}\mathrm{angle}\mathrm{for}\mathrm{arts}\times \mathrm{Total}\mathrm{students}}{360°} \\ =\frac{120°\times 3600}{360°}=1200 \\ \therefore \mathrm{Ratio}\mathrm{of}\mathrm{students}\mathrm{in}\mathrm{science}\mathrm{and}\mathrm{arts}=1000:1200=5:6 \end{gathered}$$