1. **State the problem:**
Calculate the following from the third table about undergraduate university students:
(c) What percentage of the female students worked part-time?
(e) What percentage of students that work part-time are female?
(g) What proportion of students that do not work part-time are male?
2. **Given data from the table:**
- Females who work part-time: 67
- Males who work part-time: 88
- Total who work part-time: 155
- Females who don't work part-time: 31
- Males who don't work part-time: 37
- Total who don't work part-time: 68
- Total females: 98
- Total males: 125
- Total students: 223
3. **Formulas and rules:**
- Percentage formula: $$\text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100$$
- Proportion formula: $$\text{Proportion} = \frac{\text{Part}}{\text{Whole}}$$
4. **Calculate (c) Percentage of female students who worked part-time:**
$$\text{Percentage} = \frac{67}{98} \times 100$$
Calculate fraction:
$$\frac{67}{98} \approx 0.6837$$
Multiply by 100:
$$0.6837 \times 100 = 68.37\%$$
5. **Calculate (e) Percentage of students that work part-time who are female:**
$$\text{Percentage} = \frac{67}{155} \times 100$$
Calculate fraction:
$$\frac{67}{155} \approx 0.4323$$
Multiply by 100:
$$0.4323 \times 100 = 43.23\%$$
6. **Calculate (g) Proportion of students that do not work part-time who are male:**
$$\text{Proportion} = \frac{37}{68}$$
Calculate fraction:
$$\frac{37}{68} \approx 0.5441$$
7. **Final answers:**
- (c) Approximately 68.37% of female students worked part-time.
- (e) Approximately 43.23% of students who work part-time are female.
- (g) Approximately 0.5441 (or 54.41%) of students who do not work part-time are male.
Student Work Percentage 653D44
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