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members of a softball team raised $1186.50 to go to a tournament. they …

Question

members of a softball team raised $1186.50 to go to a tournament. they rented a bus for $842.50 and budgeted $21.50 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 $1186.50$. The cost of the bus is $842.50$ and the cost for meals per - player is $21.50$ for $x$ players. So the equation is $21.5x + 842.5=1186.5$.

Step2: Isolate the term with $x$

Subtract $842.5$ from both sides of the equation:
$21.5x+842.5 - 842.5=1186.5 - 842.5$
$21.5x = 344$

Step3: Solve for $x$

Divide both sides of the equation by $21.5$:
$x=\frac{344}{21.5}$
$x = 16$

Answer:

$x = 16$