Once a month a fast food chain offers a special when a coach brings in a team. Buy 5 hamburgers and get one free. This month, a team goes in after their game. Each person had one hamburger. Each of the players had a soda @ $.50 each and shared an order of french fries ($.95 each order) with another teammate. The two coaches had their own french fries and coffee ($.75 each). The total bill was $34.20. How many players are on the team.

Question

Once a month a fast food chain offers a special when a coach brings in a team. Buy 5 hamburgers and get one free. This month, a team goes in after their game. Each person had one hamburger. Each of the players had a soda @ $.50 each and shared an order of french fries ($.95 each order) with another teammate. The two coaches had their own french fries and coffee ($.75 each). The total bill was $34.20. How many players are on the team.

Answer 1

To find the number of players on the team, we need to break down the information provided.

Let's start by determining the cost of the food and drinks for each part of the group:

1. Hamburger deal: Buy 5 burgers, get 1 free
- Each person on the team had 1 hamburger, so they collectively ordered (1 burger x number of players) + 1 burger.
- The total cost of the burgers depends on the number of players on the team.

2. Drinks:
- Each player had a soda at $0.50 each, which means the total cost of the sodas is (number of players x $0.50).

3. French fries:
- The players shared an order of fries with another teammate, and this costs $0.95 per order.
- So, the number of orders of fries is half the number of players on the team.

4. Coaches' fries and coffee:
- The two coaches had their own fries ($0.95 each) and coffee ($0.75 each).

Now, let's put it all together and solve for the number of players:

1. The total cost of the bill is given as $34.20.
- The cost of the burgers, drinks, fries, and coaches' food and drinks should add up to this amount.

2. The cost of the burgers:
- We know that for every 5 burgers ordered, 1 is free.
- So, the total cost of the burgers can be calculated as: (number of players / 5) * 5 burgers + 1 burger.

3. The cost of the drinks:
- Each player had a soda at $0.50 each, so the total cost of the drinks can be calculated as: (number of players * $0.50).

4. The cost of the fries:
- The players shared an order of fries with another teammate, so the total cost of the fries can be calculated as: (number of players / 2) * $0.95.

5. The cost of the coaches' food and drinks:
- The two coaches had their own fries ($0.95 each) and coffee ($0.75 each), so the total cost can be calculated as: 2 fries * $0.95 + 2 coffee * $0.75.

Now, we can set up the equation:

Cost of burgers + Cost of drinks + Cost of fries + Cost of coaches' food and drinks = Total bill

Using the information provided, we can plug in these values and solve for the number of players on the team.