Members of a lacrosse team raised $1672.50 to go to a tournament. They rented a bus for $1068.50 and budgeted $37.75 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.(1 point)

Question

Responses

Equation is 1068.50x + 37.75 = $1672.50 and they can bring 2 players (x) to the tournament.
Equation is 1068.50x + 37.75 = $1672.50 and they can bring 2 players (x) to the tournament.

Equation is 37.75x + 1068.50 = $1672.50 and they can bring 16 players (x) to the tournament.
Equation is 37.75x + 1068.50 = $1672.50 and they can bring 16 players (x) to the tournament.

Equation is 37.75x - 1068.50 = $1672.50 and they can bring 72 players (x) to the tournament.
Equation is 37.75x - 1068.50 = $1672.50 and they can bring 72 players (x) to the tournament.

Equation is 37.75x - 1068.50 = $1672.50 and they can bring 16 players (x) to the tournament.

Answer 1

To solve this problem, we need to set up an equation based on the information provided.

The total amount raised by the team is $1672.50. They need to rent a bus for $1068.50, and they budget $37.75 for meals per player. Let \( x \) be the number of players.

The cost for the players' meals will be \( 37.75x \).

The total expenses will be the cost of the bus plus the cost of meals: \[ 1068.50 + 37.75x \]

We want this to equal the total amount raised: \[ 1068.50 + 37.75x = 1672.50 \]

Now, let's solve the equation for \( x \).

1. Subtract $1068.50 from both sides: \[ 37.75x = 1672.50 - 1068.50 \] \[ 37.75x = 604.00 \]

2. Now, divide both sides by 37.75 to find \( x \): \[ x = \frac{604.00}{37.75} \] \[ x \approx 16 \]

Therefore, the correct equation is: \[ 37.75x + 1068.50 = 1672.50 \] and they can bring approximately 16 players to the tournament.

So, the correct response is: Equation is 37.75x + 1068.50 = $1672.50 and they can bring 16 players (x) to the tournament.