Members of a softball team raised $1353 to go to a tournament. They rented a bus for $943.50 and budgeted $31.50 per player for meals. Write and solve an equation which can be used to determine xx, the number of players the team can bring to the tournament.

To solve for the number of players $ x $ that the team can bring to the tournament, we can set up an equation based on the total amount of money available, the cost of the bus, and the budget per player for meals.

**Step 1: Define the variables and expressions.**

- Total amount of money raised: $1353
- Cost of renting the bus: $943.50
- Budget per player for meals: $31.50
- Number of players: $ x $

**Step 2: Set up the equation.**

The total cost for the bus and the meals for all players must equal the amount of money the team raised:

\[
943.50 + 31.50x = 1353
\]

**Step 3: Solve the equation for $ x $.**

1. Subtract $943.50 from both sides to isolate the term with $ x $:

\[
31.50x = 1353 - 943.50
\]

2. Calculate the difference on the right-hand side:

\[
31.50x = 409.50
\]

3. Divide both sides by $31.50 to solve for $ x $:

\[
x = \frac{409.50}{31.50}
\]

4. Perform the division:

\[
x = 13
\]

So, the team can bring **13 players** to the tournament.

---

Do you want details or have any questions? 

Here are 5 related questions to think about:
1. What would happen if the cost per meal increased by $5?
2. How much money would each player need to contribute if 2 more players wanted to join?
3. If they had raised $200 more, how many players could they bring?
4. What if the bus cost was reduced by 10%? How would that affect the number of players?
5. How would the equation change if there was an additional $50 expense for equipment?

**Tip:** When solving word problems, always double-check units and ensure all values are accounted for in your equation.

Learn how to calculate the number of players a softball team can bring to a tournament using a budgeting equation. This problem involves budgeting for bus rental and meal expenses per player, with a detailed step-by-step solution. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation