1. **State the problem:** We have votes from students for three faculty members: Ms. Luz (60 votes), Mr. Henry (25 votes), and Ms. Lina (35 votes). We need to find: a. The total number of students who participated. b. The percentage of students who voted for each faculty member. 2. **Formula for total votes:** $$\text{Total votes} = \text{Votes for Ms. Luz} + \text{Votes for Mr. Henry} + \text{Votes for Ms. Lina}$$ 3. **Calculate total votes:** $$60 + 25 + 35 = 120$$ So, 120 students participated in the survey. 4. **Formula for percentage:** $$\text{Percentage} = \left(\frac{\text{Votes for a candidate}}{\text{Total votes}}\right) \times 100$$ 5. **Calculate percentages:** - For Ms. Luz: $$\left(\frac{60}{120}\right) \times 100 = 50\%$$ - For Mr. Henry: $$\left(\frac{25}{120}\right) \times 100 \approx 20.83\%$$ - For Ms. Lina: $$\left(\frac{35}{120}\right) \times 100 \approx 29.17\%$$ 6. **Summary:** - Total students: 120 - Ms. Luz: 50% - Mr. Henry: 20.83% - Ms. Lina: 29.17% These percentages add up to 100%, confirming the calculations are correct.