Question 9

1. Analyze Electrical Engineering:

• From the pie chart, Electrical Engineering accounts for $20\%$ of the total student body.
• The ratio of male to female students in each department is $5 : 4$.
• There are $40$ males in Electrical Engineering. Since the male component corresponds to 5 parts:
  $$\text{Value of 1 part} = \frac{40}{5} = 8.$$
• Number of females in Electrical Engineering $= 4 \times 8 = 32$.
• Total students in Electrical Engineering $= 40 + 32 = 72$.

2. Find Total College Enrollment:

• Since Electrical Engineering is $20\%$ of total students:
  $$\text{Total Students} = \frac{72}{0.20} = 360.$$

3. Calculate Civil and Mechanical Departments:

• Civil Department ($30\%$):

  $$\text{Total Civil Students} = 0.30 \times 360 = 108.$$
  $$\text{Female Civil Students} = \frac{4}{9} \times 108 = 48.$$

• Mechanical Department ($10\%$):

  $$\text{Total Mechanical Students} = 0.10 \times 360 = 36.$$
  $$\text{Female Mechanical Students} = \frac{4}{9} \times 36 = 16.$$

4. Difference in Female Students:

Alternatively, since female students are $\frac{4}{9}$ in both departments: