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 and set up an equation to solve for $ x $, the number of players the team can bring to the tournament.

### Information given:
1. The team raised a total of $1128.75.
2. They spent $856.50 to rent the bus.
3. They budgeted $24.75 per player for meals.
4. $ x $ is the number of players.

### Step-by-step explanation:
- The amount of money remaining after paying for the bus rental is:
  \[
  1128.75 - 856.50
  \]
- This remaining amount will be used to cover the meals for $ x $ players. Since each player’s meal costs $24.75, the total meal cost for $ x $ players is:
  \[
  24.75 \times x
  \]
- The remaining money should be equal to the total meal cost, leading to the equation:
  \[
  1128.75 - 856.50 = 24.75 \times x
  \]
- Simplify the left-hand side:
  \[
  272.25 = 24.75 \times x
  \]
- Now solve for $ x $ by dividing both sides of the equation by 24.75:
  \[
  x = \frac{272.25}{24.75}
  \]
  \[
  x = 11
  \]

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

Would you like further details on any steps or clarification?

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Here are 5 related questions to further your understanding:
1. What if the cost per player for meals was $30? How many players could the team bring?
2. How would the equation change if the team raised $1500 instead?
3. What would happen if the bus rental cost $900 instead of $856.50?
4. How much would the team have left over if they brought only 10 players?
5. How would the equation change if they also had to buy baseball uniforms?

**Tip**: When solving word problems, always start by identifying known quantities and assigning variables to unknowns for clear problem setup.

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.

Learn how to set up and solve a linear equation to determine the number of players a baseball team can bring to a tournament. This problem involves budgeting, basic algebra, and solving equations step-by-step. Suitable for students in Grades 6-8.

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