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Let's analyze the problem step by step.

Mr. Daniels is planning a celebration at the skate park. 
- Admission for students (denoted as $ x $) is $8.
- Admission for teachers (denoted as $ y $) is $5.
- The total budget is $500.

The equation to represent the total cost for students and teachers attending the celebration can be written as:

\[
8x + 5y = 500
\]

This equation states that the total cost for $ x $ students (each costing $8) and $ y $ teachers (each costing $5) must sum up to the total amount of $500.

Would you like more details on how to solve for specific values of $ x $ or $ y $? 

Here are some questions to consider:
1. How many students can attend if there are no teachers?
2. How many teachers can attend if there are no students?
3. What happens if both students and teachers attend in equal numbers?
4. Can the budget allow for 40 students and 20 teachers?
5. How would the equation change if the budget increased to $600?

**Tip:** When creating equations based on word problems, always define your variables clearly and identify the relationship between them and the total.

Mr. Daniels is planning a celebration for teachers and students at the local skate park. Admission for students (x) is $8 and admission for teachers (y) is $5. Mr. Daniels will spend $500 on the celebration. Write an equation for the total cost of taking students and teachers to the skate park.

Learn how to write a linear equation for calculating the total cost of taking students and teachers to a skate park. This problem involves algebraic concepts and focuses on understanding how to form and solve linear equations. Suitable for students in Grades 6-8.

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