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The question in the image asks you to find the number of voters who participated in a poll using a Borda count. It is given that:

- College A received 1700 points, and it was the unanimous first-place choice of all voters.
- In a Borda count system, a first-place vote is worth 25 points.

### Solution:

Since College A was the unanimous first-place choice, every voter gave College A 25 points.

Let \( V \) represent the number of voters. Each voter gives College A 25 points, and since all voters unanimously voted for College A as their first choice, the total points College A received is \( 25V \).

Therefore, we can set up the equation:

\[
25V = 1700
\]

Now, solving for \( V \):

\[
V = \frac{1700}{25} = 68
\]

Thus, **68 voters** participated in the poll.

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:
1. How does the Borda count system compare to other voting methods like plurality?
2. How would you calculate the number of second-place votes given to College B?
3. What would happen if the voters weren't unanimous in their first-place choice for College A?
4. Can you generalize a formula to determine the number of voters based on any team's total points?
5. How does the ranking system affect team standings when the number of voters increases?

**Tip:** In a Borda count, understanding how points are assigned at different ranks is crucial for solving similar problems!

Given that College A was the unanimous first-place choice of all voters, find the number of voters that participated in the poll.

Learn how to calculate the number of voters in a college football poll using the Borda count voting system. Given that College A was the unanimous first-place choice, use the formula 25V = 1700 to solve for the number of voters. Suitable for students in Grades 9-12.

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