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The problem states that Susie and Chris are running for class president. For the first 80% of the ballots that are counted, Susie receives 53% of the votes, and Chris receives 47%. The question asks what percentage of the remaining votes Chris needs to receive to tie with Susie in the election.

Let's break this down:

1. **Initial Votes**:
   - Let the total number of votes be \( V \).
   - The first 80% of the ballots represent \( 0.8V \).

2. **Votes Received So Far**:
   - Susie’s votes from the first 80%: \( 0.8V \times 0.53 = 0.424V \).
   - Chris’s votes from the first 80%: \( 0.8V \times 0.47 = 0.376V \).

3. **Remaining Votes**:
   - The remaining 20% of the ballots represent \( 0.2V \).

4. **Condition for a Tie**:
   - Let \( x \) be the percentage of the remaining votes Chris needs to receive.
   - Susie’s total votes will be \( 0.424V + 0.2V \times (1 - x) \).
   - Chris’s total votes will be \( 0.376V + 0.2V \times x \).

   For Chris to tie with Susie, we need:

   \[
   0.376V + 0.2V \times x = 0.424V + 0.2V \times (1 - x)
   \]

   Simplifying this equation:

   \[
   0.376 + 0.2x = 0.424 + 0.2(1 - x)
   \]

   \[
   0.376 + 0.2x = 0.424 + 0.2 - 0.2x
   \]

   Combine like terms:

   \[
   0.376 + 0.2x = 0.624 - 0.2x
   \]

   Adding \( 0.2x \) to both sides:

   \[
   0.576x = 0.248
   \]

   Solving for \( x \):

   \[
   x = \frac{0.248}{0.4} = 0.62
   \]

Thus, Chris needs to receive **62% of the remaining votes** to tie with Susie.

Would you like more details or have any other questions?

Here are 5 related questions that build on this problem:

1. What percentage of the remaining votes does Chris need to win the election outright?
2. How many total votes were cast if Chris and Susie each received exactly 500 votes?
3. If a third candidate were introduced, how would the percentages need to be recalculated for a tie?
4. What would be the effect on the required percentage for Chris if the initial percentage of ballots counted were different?
5. How would the calculation change if Chris had initially received more than 47% of the first 80% of votes?

**Tip:** When solving percentage problems, always carefully account for the total percentage available and ensure that all parts of the problem are consistently scaled.

Understand how to calculate the percentage of remaining votes Chris needs to tie with Susie in the election. This problem involves solving equations and proportions based on vote percentages. Learn the step-by-step solution suitable for high school students.

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