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The question asks to translate the phrase "p students to 25 teachers" into an algebraic expression. This type of problem involves expressing the ratio between the number of students (\( p \)) and the number of teachers (25).

The ratio of students to teachers can be written as:

\[
\frac{p \text{ students}}{25 \text{ teachers}}.
\]

Now, reviewing the options:

1. \( \frac{p \text{ teachers}}{25 \text{ students}} \) — incorrect, as this swaps the roles of students and teachers.
2. \( \frac{25 \text{ students}}{p \text{ teachers}} \) — incorrect, as it reverses the ratio.
3. \( \frac{25 \text{ teachers}}{p \text{ students}} \) — incorrect for the same reason as the previous one.
4. \( \frac{p \text{ teachers}}{25 \text{ students}} \) — also incorrect.
5. \( \frac{25 \text{ teachers}}{p \text{ students}} \) — incorrect.

The correct option, which is not explicitly listed, should be \( \frac{p \text{ students}}{25 \text{ teachers}} \), but it's not available. Therefore, none of the options appear to be correct based on this analysis.

Would you like more details on interpreting ratios?

Here are some related questions:

1. What is a ratio in mathematics, and how is it applied in different contexts?
2. How can ratios be simplified when the terms involve variables?
3. What are the common mistakes when interpreting ratios in word problems?
4. How do we apply ratios when comparing different quantities in real-life situations?
5. Can ratios involving variables be represented graphically?

**Tip**: Always check the order of quantities in a ratio to ensure you're comparing the right terms!

Translate the phrase into an algebraic expression: p students to 25 teachers.

Learn how to express the ratio of p students to 25 teachers as an algebraic expression. This problem covers basic ratio concepts and introduces algebraic expressions with variables. Suitable for students in Grades 6-8.

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