Members of a baseball team raised $1128.75 to go to a tournament. They rented a bus for $856.50 and budgeted $24.75 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.

Let's break down the problem step by step and set up an equation to determine $ x $, the number of players the team can bring.

### Given information:
- Total amount raised: $1128.75
- Cost of renting the bus: $856.50
- Meal cost per player: $24.75 per player

### Step 1: Express total expenses
The total expenses consist of the bus rental and the cost of meals for $ x $ players. The cost of meals for $ x $ players is $ 24.75x $ (since each player needs $24.75 for meals).

Thus, the total expenses can be written as:
\[
\text{Total expenses} = 856.50 + 24.75x
\]

### Step 2: Set up the equation
The total expenses must be equal to the amount raised ($1128.75). So, we set up the equation:
\[
856.50 + 24.75x = 1128.75
\]

### Step 3: Solve for $ x $
To solve for $ x $, follow these steps:

1. Subtract $856.50 from both sides of the equation:
   \[
   24.75x = 1128.75 - 856.50
   \]
   \[
   24.75x = 272.25
   \]

2. Divide both sides by 24.75 to solve for $ x $:
   \[
   x = \frac{272.25}{24.75}
   \]
   \[
   x = 11
   \]

### Solution:
The team can bring **11 players** to the tournament.

---

Do you want further details or have any questions? Here are some related questions to expand this topic:

1. How would the number of players change if the meal cost increased to $30 per player?
2. What if the team raised $1500 instead of $1128.75?
3. How much would each player need to contribute for meals if the total cost remained at $1128.75?
4. What if the bus rental cost increased by 10%?
5. How many players could they bring if they rented a cheaper bus for $800?

**Tip:** When setting up word problems, clearly identify the variables and write an equation that directly relates them to the known quantities.

Members of a baseball team raised $1128.75 to go to a tournament. They rented a bus for $856.50 and budgeted $24.75 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.

Determine how many players a baseball team can bring to a tournament by solving a linear equation involving total expenses, bus rental cost, and meal cost per player. Learn the step-by-step solution to this problem, perfect for students in Grades 6-8.

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