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.

Answer 1

The number of players the team can bring to the tournament is 12

What is algebraic expression?

The appropriate algebraic expression in this case is the one that considers the cost of renting the bus of $1075.50 as well as the budgeted meal cost for all players that played in the softball team.

In other words, there is fixed charge which is the rent and meal costs which increase as the number of players increases

TC=a+bX

TC=total amount raised for the tournament=$1525.50

a=cost of renting the bus= $1075.50

bX=cost per meal per player*number of players=$37.50*X

$1525.50=$1075.50+$37.50*X

$1525.50-$1075.50=$37.50*X

$450.00=$37.50*X

X=$450.00/$37.50

X=12 players

The team can only bring a team of 12 players to the tournament.

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