A group of friends wants to go to the amusement park. They have $114.75 to spend on parking and admission. Parking is $8.75, and tickets cost $26.50 per person, including tax. Which equation or tape diagram could be used to represent the context if xx represents the number of people who can go to the amusement park?

We can represent the total cost of parking and admission with an equation involving $x$, the number of people who can attend the amusement park.

- **Total available money**: $114.75
- **Parking cost**: $8.75 (fixed cost)
- **Cost per person for admission**: $26.50

The total cost for $x$ people would be the sum of the parking cost and the admission cost for $x$ people:

\[
\text{Total Cost} = 8.75 + 26.50x
\]

Since the total cost must equal the available money ($114.75), we can set up the following equation:

\[
8.75 + 26.50x = 114.75
\]

This equation represents the scenario where $x$ is the number of people who can go to the amusement park.

### Tape Diagram Explanation:
- One section of the diagram represents the fixed parking cost ($8.75).
- The other section represents the total cost of admission for $x$ people, with each unit being $26.50.

Would you like a more detailed breakdown of how to solve this equation or more explanation about tape diagrams?

### Related Questions:
1. How many people can go to the amusement park if they have $114.75?
2. What if the parking cost increases to $10.75? How would the equation change?
3. How much more money would they need if 5 people want to attend?
4. What if they had $200 to spend—how would that affect the number of people who can go?
5. How can we solve the equation step by step to find the value of $x$?

### Tip:
When dealing with real-world problems, it's helpful to break down the situation into fixed and variable costs to easily set up the equation.

A group of friends wants to go to the amusement park. They have $114.75 to spend on parking and admission. Parking is $8.75, and tickets cost $26.50 per person, including tax. Which equation or tape diagram could be used to represent the context if x represents the number of people who can go to the amusement park?

Learn how to solve a real-world linear equation problem involving parking and admission costs. This example demonstrates how to set up an equation to find the number of people who can attend the amusement park, with a budget of $114.75. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation