To determine the number of players \( x \) that can go to the tournament, we can write the equation based on the total amount raised and the expenses involved.
- Total funds raised: $1353
- Cost of the bus: $943.50
- Cost per player for meals: $31.50
The total cost for meals for \( x \) players is \( 31.50x \).
The equation representing the total funds available after paying for the bus and the meals for \( x \) players is:
\[ \text{Total funds} = \text{Cost of bus} + \text{Cost of meals for } x \text{ players} \]
This can be represented as:
\[ 1353 = 943.50 + 31.50x \]
Now, we can solve the equation for \( x \):
- Subtract 943.50 from both sides:
\[ 1353 - 943.50 = 31.50x \]
\[ 409.50 = 31.50x \]
- Divide both sides by 31.50 to isolate \( x \):
\[ x = \frac{409.50}{31.50} \]
- Calculate \( x \):
\[ x = 13 \]
Final answer:
- The equation is \( 1353 = 943.50 + 31.50x \)
- The number of players \( x \) that the team can bring to the tournament is \( 13 \).