Answer:
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.