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To determine the Borda Count winner, we need to assign point values to each subject based on their ranking in the preference schedules. In a Borda Count system, the subject ranked 1st receives the most points, the subject ranked 2nd receives fewer points, and so on, with the subject ranked last receiving the fewest points.

Here are the steps we need to follow:

### Step 1: Assign Points
Since there are 5 subjects, each subject will receive points from 1 to 5 depending on its position in each column. For example, in the first column:
- 1st place gets 5 points,
- 2nd place gets 4 points,
- 3rd place gets 3 points,
- 4th place gets 2 points,
- 5th place gets 1 point.

The number of voters in each preference column is given at the bottom of each column (e.g., 5 voters for the first column, 4 voters for the second, etc.).

### Step 2: Calculate Total Points for Each Subject
We will multiply the points by the number of voters for each column and sum them up across all columns.

Let’s calculate this step-by-step.

I'll proceed with these calculations now.The total points for each subject using the Borda Count system are:

- **Math**: 34 points
- **Science**: 52 points
- **Electives**: 50 points
- **Language Arts**: 37 points
- **Social Studies**: 37 points

### Borda Count Winner:
- The subject with the most points is **Science**, with 52 points. Therefore, **Science** is the Borda Count winner.

Would you like any further details or explanations?

Here are 5 questions to expand on this topic:
1. How does the Borda Count method compare to other voting methods?
2. Can the Borda Count system lead to a tie, and how would we resolve it?
3. What are the pros and cons of using the Borda Count method?
4. In what scenarios might the Borda Count method fail to represent a fair winner?
5. How does the number of candidates affect the outcome in a Borda Count system?

**Tip**: The Borda Count is a ranked voting system that is particularly useful when the voters rank multiple options. It’s often used in elections where a consensus is important rather than a simple majority.

Given the following preference schedules for a class of student voters on their favorite school subject, determine the Borda Count Winner if one exists.

Learn how to determine the Borda Count Winner from a preference schedule of student voters ranking their favorite school subjects. This problem covers the Borda Count voting method and its application, suitable for high school students in grades 10-12.

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