Members of a softball team raised $2089.50 to go to a tournament. They rented a bus for $1087.50 and budgeted $41.75 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.

Answer 1

To determine the number of players \( x \) the team can bring to the tournament, we can set up an equation based on the total funds raised and the costs involved.

1. The total amount of money raised is given as $2089.50.
2. The cost of renting the bus is $1087.50.
3. The budgeted cost for meals per player is $41.75.

The total cost for the tournament will consist of the bus rental and the cost for meals for all players. Therefore, we can express the total costs as:

\[ \text{Total Cost} = \text{Bus Cost} + \text{Cost per Player} \times \text{Number of Players} \]

In equation form:

\[ 2089.50 = 1087.50 + 41.75x \]

Next, we can solve for \( x \):

1. First, subtract the bus cost from both sides:

\[ 2089.50 - 1087.50 = 41.75x \]

2. Calculate the left side:

\[ 1002 = 41.75x \]

3. Now, divide both sides by 41.75 to solve for \( x \):

\[ x = \frac{1002}{41.75} \]

4. Calculate \( x \):

\[ x \approx 24 \]

So, the number of players the team can bring to the tournament is \( \boxed{24} \).