Final answer:
The lacrosse team has $1672.50 and after spending $1068.50 on bus rental, they have to budget $37.75 per player for meals. By setting up the equation 1068.50 + 37.75x = 1672.50 and solving for x, we find that the team can bring approximately 16 players to the tournament.
Step-by-step explanation:
The lacrosse team raised $1672.50 for their tournament. They spent $1068.50 on renting a bus. The problem asks to find the number of players they can afford to bring, considering they have budgeted $37.75 per player for meals. To determine this, we need to create an equation that represents the situation.
Let's let x be the number of players. The total cost for the meals for the players will be 37.75x. The total expenses should not exceed the total amount raised, which is $1672.50. So, the equation that w
e will set up is:
Cost of renting a bus + (Cost per player for meals × Number of players) = Total amount raised
1068.50 + 37.75x = 1672.50
We can now solve for x:
- Subtract the cost of the bus from both sides: 37.75x = 1672.50 - 1068.50
- Simplify the right side: 37.75x = 604
- Divide both sides by 37.75 to find x: x = 604 / 37.75
- Calculate x to find the number of players: x ≈ 16
Therefore, the lacrosse team can bring approximately 16 players to the tournament.