Question

members of a lacrosse team raised $1775.50 to go to a tournament. they rented a bus for $901.50 and budgeted $46 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.

Explanation:

Step1: Set up the equation

The total money raised is used for the bus - rental and the meal - budget for players. The money spent on the bus is $901.50$ and the money spent on meals for $x$ players at $46$ dollars per player is $46x$. So the equation is $46x + 901.50=1775.50$.

Step2: Isolate the term with $x$

Subtract $901.50$ from both sides of the equation:
$46x+901.50 - 901.50=1775.50 - 901.50$
$46x = 874$.

Step3: Solve for $x$

Divide both sides of the equation by $46$:
$x=\frac{874}{46}$
$x = 19$.

Answer:

$x = 19$