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.

Question

Answer
Attempt 1 out of 2

Equation:
Answer: xx =

Answer 1

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

1. The total amount of money raised is $1353.
2. The cost of the bus is $943.50.
3. The budget for meals per player is $31.50.

First, we need to calculate the remaining funds after paying for the bus:

\[ \text{Remaining funds} = \text{Total funds} - \text{Cost of bus} \]

Substituting in the values:

\[ \text{Remaining funds} = 1353 - 943.50 = 409.50 \]

Now, the remaining funds will be used to pay for meals for \( x \) players, which can be expressed as:

\[ \text{Cost of meals} = 31.50 \times x \]

Setting the equation for the remaining funds equal to the cost of meals gives us:

\[ 409.50 = 31.50 \times x \]

Now we can solve for \( x \):

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

Calculating the right-hand side:

\[ x = 13 \]

Thus, the equation can be written as:

\[ 409.50 = 31.50x \]

And the solution is:

\[ \mathbf{x = 13} \]

This means the team can bring 13 players to the tournament.