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members of a softball team raised $1525.50 to go to a tournament. they …

Question

members of a softball team raised $1525.50 to go to a tournament. they rented a bus for $1075.50 and budgeted $37.50 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: Define the total cost

The total cost is the sum of the bus rental cost and the total meal cost for \( x \) players. The bus rental is \( \$1075.50 \), and the meal cost per player is \( \$37.50 \), so the total meal cost is \( 37.50x \). The total raised money is \( \$1525.50 \), so the equation is \( 1075.50 + 37.50x = 1525.50 \).

Step2: Solve for \( x \)

Subtract \( 1075.50 \) from both sides:
\( 37.50x = 1525.50 - 1075.50 \)
\( 37.50x = 450 \)

Divide both sides by \( 37.50 \):
\( x = \frac{450}{37.50} \)
\( x = 12 \)

Answer:

The number of players the team can bring is \( \boldsymbol{12} \).