https://file.aiquickdraw.com/mathbot/file/1727305112910unsrk581.jpg

Let’s break down the tally from the table and solve each part step by step.

### Vote counts from the tally sheet:
- **Judy**: 14 votes (represented by 2 groups of 5, plus 4 additional tallies)
- **Carlos**: 16 votes (3 groups of 5, plus 1 tally)
- **Yolanda**: 13 votes (2 groups of 5, plus 3 tallies)
- **Khanh**: 12 votes (2 groups of 5, plus 2 tallies)

Now, let's solve the questions:

### (a) The second-place candidate received how many more votes than the third-place candidate?
- **Carlos** is in first place with **16 votes**.
- **Judy** is in second place with **14 votes**.
- **Yolanda** is in third place with **13 votes**.

So, the second-place candidate (Judy) received **1 more vote** than the third-place candidate (Yolanda).

### (b) What fraction of the votes did Yolanda receive?
- Total votes = Judy’s votes + Carlos’s votes + Yolanda’s votes + Khanh’s votes
  = 14 + 16 + 13 + 12 = **55 total votes**.

Yolanda received 13 votes, so the fraction of votes Yolanda received is:

\[
\frac{13}{55}
\]

Would you like further details or clarification on any of the steps?

Here are 5 related questions to expand on this:
1. If Yolanda received 2 more votes, would she tie for second place?
2. What is the percentage of total votes that Carlos received?
3. By how many votes did the first-place candidate exceed the total of the last-place candidate?
4. If the voting results are converted into a pie chart, what would be the angle for Khanh's section?
5. If each tally mark represents 2 votes instead of 1, what would be the new totals?

**Tip**: To convert a fraction into a percentage, multiply the fraction by 100.

Refer to this election tally sheet to answer questions a and b:
(a) The second-place candidate received how many more votes than the third-place candidate?
(b) What fraction of the votes did Yolanda receive?

Analyze an election tally sheet to determine the difference between second and third place vote counts and calculate the fraction of votes received by Yolanda. The solution involves basic vote counting, comparisons, and fraction calculations, suitable for students in Grades 4-6.

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