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To model this situation, we need to create an inequality that represents the total cost of student and teacher tickets being less than or equal to the total budget of **$500**.

- **Student tickets** cost **$15** each, and the number of student tickets is represented by **S**.
- **Teacher tickets** cost **$25** each, and the number of teacher tickets is represented by **t**.

The total cost of the tickets would be:

\[
15S + 25t
\]

This total cost must be less than or equal to the budget of **$500**, so the inequality that represents the situation is:

\[
15S + 25t \leq 500
\]

Would you like a breakdown of how to solve for specific numbers of student or teacher tickets? Or how to graph this inequality?

Here are 5 relative questions:
1. How can you solve for $S$ when $t$ is fixed?
2. How many tickets can Ms. Habib buy if she only purchases student tickets?
3. What if she only buys teacher tickets, how many can she purchase?
4. How does the inequality change if the budget increases to $600?
5. How would you represent this situation graphically?

**Tip:** When modeling word problems, always break down the variables and constants before writing the equation or inequality.

Ms. Habib is organizing a school field trip to a museum with a budget of $500. Student tickets cost $15, and teacher tickets cost $25. Write a linear inequality to represent how many tickets of each type Ms. Habib can buy. Use S to represent the number of student tickets, and use t to represent the number of teacher tickets.

Learn how to write a linear inequality to model a budget problem where Ms. Habib organizes a field trip with a $500 budget. The inequality represents how many student and teacher tickets can be bought at $15 and $25, respectively. Suitable for Grades 7-9.

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