Questions: Translate the phrase into an algebraic expression: p students to 25 teachers. Select the correct answer below: p teachers p students 25 teachers 25 students p teachers 25 teachers p students

Translate the phrase into an algebraic expression: p students to 25 teachers. Select the correct answer below: p teachers p students 25 teachers 25 students p teachers 25 teachers p students
Transcript text: Translate the phrase into an algebraic expression: $p$ students to 25 teachers. Select the correct answer below: $p$ teachers p students 25 teachers 25 students $p$ teachers 25 teachers $p$ students
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Solution

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Solution Steps

Solution Approach

To translate the phrase "p students to 25 teachers" into an algebraic expression, we need to express it as a ratio. The phrase indicates a comparison between the number of students and the number of teachers. Therefore, the algebraic expression for this ratio is \( \frac{p \text{ students}}{25 \text{ teachers}} \).

Step 1: Understanding the Ratio

The phrase "p students to 25 teachers" indicates a comparison between the number of students and the number of teachers. This can be expressed as a ratio.

Step 2: Formulating the Expression

The ratio of \( p \) students to 25 teachers can be mathematically represented as: \[ \frac{p \text{ students}}{25 \text{ teachers}} \]

Step 3: Example Calculation

For an example where \( p = 30 \), the ratio becomes: \[ \frac{30 \text{ students}}{25 \text{ teachers}} = \frac{30}{25} = \frac{6}{5} \]

Final Answer

The algebraic expression for the ratio of \( p \) students to 25 teachers is: \[ \boxed{\frac{p}{25}} \]

For the specific case where \( p = 30 \): \[ \boxed{\frac{6}{5}} \]

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