Members of a softball team raised $1186.50 to go to a tournament. They rented a bus for $842.50 and budgeted $21.50 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 determine the number of players $ x $ the team can bring to the tournament, we need to set up and solve an equation that accounts for both the bus rental cost and the meal costs per player.

Here are the details given:

- Total amount raised: $1186.50
- Cost to rent the bus: $842.50
- Meal cost per player: $21.50

First, we write the total expenses as the sum of the bus rental cost and the meal costs for $ x $ players. The equation for the total expenses is:

\[ \text{Total expenses} = \text{Bus rental cost} + \text{Meal cost per player} \times \text{Number of players} \]

Given:
\[ \text{Total expenses} = 1186.50 \]
\[ \text{Bus rental cost} = 842.50 \]
\[ \text{Meal cost per player} = 21.50 \]

Let's denote the number of players by $ x $. Then the equation becomes:

\[ 842.50 + 21.50x = 1186.50 \]

Next, we solve for $ x $:

1. Subtract the bus rental cost from the total amount raised:
   \[ 21.50x = 1186.50 - 842.50 \]
   \[ 21.50x = 344.00 \]

2. Divide both sides by the meal cost per player:
   \[ x = \frac{344.00}{21.50} \]
   \[ x \approx 16 \]

Thus, the team can bring approximately 16 players to the tournament.

Would you like any more details or have any questions?

Here are five related questions to expand on this topic:

1. If the bus rental cost increases by $50, how many players can the team bring now?
2. What if the team raises an additional $200? How many players can they bring then?
3. Suppose the meal cost per player increases to $25. How does this affect the number of players the team can bring?
4. How much more money does the team need to bring 20 players to the tournament?
5. If the team spends $50 less on the bus rental, how many additional players can they bring?

**Tip:** When solving equations involving expenses, always double-check each step to ensure all values are correctly accounted for, especially when dealing with multiple components like fixed and variable costs.

Members of a softball team raised $1186.50 to go to a tournament. They rented a bus for $842.50 and budgeted $21.50 per player for meals. Write and solve an equation which can be used to determine x, the number of players the team can bring to the tournament.

This problem explores how to use algebra to solve a real-world budgeting problem. Learn how a softball team determines the number of players it can take to a tournament with a fixed budget of $1186.50, bus rental costs of $842.50, and meal costs of $21.50 per player. Suitable for students in Grades 6-8.

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