Question

Denise paid $25.56 for a board game, after-tax, and the tax rate is 6.5%. What was the original price of the board game?

Answer 1

the tax rate is 6.5%.: the tax rate is an increase on the price excluding tax

increase 6.5%= 1+(6.5/100)=1.065

initial price: 25.56/1.065=$24

Answer 2

24 dollars

Explanation:

Let's denote the original price of the board game as "x."

The tax rate is 6.5%, which means that 6.5% of the original price is added as tax. Mathematically, this can be expressed as:

Tax = 0.065 * x

The total cost Denise paid, including the tax, is the original price plus the tax:

Total Cost = Original Price + Tax

Total Cost = x + 0.065 * x

Given that Denise paid $25.56 for the board game after-tax, we can set up the equation:

$25.56 = x + 0.065 * x

Simplify the equation:

$25.56 = 1.065 * x

Now, solve for x (the original price):

x = $25.56 / 1.065 ≈ $24.00

So, the original price of the board game was approximately $24.00.