You are visiting one of the following states: Tennessee, Vermont, Wisconsin, or Wyoming. Each has a state sales tax on most items that are for sale in stores.

Question

While you are visiting, you decide to buy a board game to play with your hosts. The cost of the game is between $10 and $20, and it is not a whole dollar amount. What is the total cost of the board game, including sales tax? Show your work.

Answer 1

To determine the total cost of the board game including sales tax, we need to consider the sales tax rate in each state.

Tennessee has a statewide sales tax rate of 7%.
Vermont has a statewide sales tax rate of 6%.
Wisconsin has a statewide sales tax rate of 5%.
Wyoming does not have a statewide sales tax, so the sales tax rate is 0%.

Let's calculate the total cost of the board game, including sales tax, for each state:

1. Tennessee:
If the cost of the board game is x dollars, the sales tax would be 7% of x. This means the sales tax is 0.07x dollars.
The total cost of the board game including sales tax in Tennessee would be: x + 0.07x = 1.07x dollars.

2. Vermont:
If the cost of the board game is x dollars, the sales tax would be 6% of x. This means the sales tax is 0.06x dollars.
The total cost of the board game including sales tax in Vermont would be: x + 0.06x = 1.06x dollars.

3. Wisconsin:
If the cost of the board game is x dollars, the sales tax would be 5% of x. This means the sales tax is 0.05x dollars.
The total cost of the board game including sales tax in Wisconsin would be: x + 0.05x = 1.05x dollars.

4. Wyoming:
Wyoming does not have a state sales tax, so the total cost of the board game would be the same as the cost of the game itself, which is x dollars.

Therefore, the total cost of the board game, including sales tax, would be:
- 1.07x dollars in Tennessee.
- 1.06x dollars in Vermont.
- 1.05x dollars in Wisconsin.
- x dollars in Wyoming.