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

Please write your equation in the form a, x, plus, b, equals, cax+b=c.

Equation:
Answer: xx =

Answer 1

To set up the equation, we start by identifying the total money raised for the tournament and the costs involved.

The total money raised is:
\[ 1353 \]

The cost of renting the bus is:
\[ 943.50 \]

The remaining money after renting the bus is:
\[ 1353 - 943.50 = 409.50 \]

Next, they budget $31.50 per player for meals. If \( x \) is the number of players, the total cost for meals will be \( 31.50x \).

Now we can set up the equation to find the number of players:

\[ 31.50x = 409.50 \]

To write it in the form \( ax + b = c \), we can rearrange it slightly:

\[ 31.50x + 0 = 409.50 \]

This means:
\( a = 31.50 \), \( b = 0 \), and \( c = 409.50 \).

Now we can solve for \( x \):

\[ x = \frac{409.50}{31.50} = 13 \]

So the team can bring

Answer: \( x = 13 \) players to the tournament.