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

I think we would have to know the cost of the burger.

Answer 2

To find out the number of players on the team, let's break down the information given:

1. Each person on the team had one hamburger.
2. Each player had a soda for $0.50 each.
3. Each player shared an order of French fries with another teammate for $0.95 per order.
4. The two coaches had their own French fries and coffee for $0.75 each.
5. The total bill was $34.20.

Let's assign variables to the unknown quantities:
- Let "x" be the number of players on the team.
- Let "y" be the number of orders of French fries shared by the players.

From the given information, we can form the following equations:

1. The cost of hamburgers: $5 * (5 burgers) = $25.
2. The cost of sodas: $0.50 * x.
3. The cost of orders of French fries shared by the players: $0.95 * y.
4. The cost of French fries and coffee for the coaches: $0.75 * 2 = $1.50.
5. The total bill: $25 + ($0.50 * x) + ($0.95 * y) + $1.50 = $34.20.

We have two unknowns, x and y, so we need one more equation to solve for them.

From the information given, each player had one hamburger, and since the team had already eaten, there should be a total of x hamburgers. So we can set up the following equation:

6. x = y + 1

Now we can substitute equation 6 into equation 5 to solve for the number of players on the team:

$25 + ($0.50 * x) + ($0.95 * y) + $1.50 = $34.20

Simplifying the equation:

$0.50x + $0.95y = $8.70

Substituting x = y + 1:

$0.50(y + 1) + $0.95y = $8.70

Simplifying again:

$0.50y + $0.50 + $0.95y = $8.70

Combining like terms:

$1.45y = $8.20

Dividing both sides by $1.45:

y = 8.20 / 1.45 = 5.655

Since y represents the number of orders of French fries, it must be a whole number. So we can round y to the nearest whole number, which is 6.

Using equation 6:

x = (y + 1) = 6 + 1 = 7

Therefore, there are 7 players on the team.