Final answer:
To find the cost of the video game, divide the sale price by 1 plus the markup percentage. The cost of the video game is $51.16.
Step-by-step explanation:
To find the cost, we need to divide the sale price by (1 + the markup percentage), because the sale price is equal to the cost plus the markup.
Let's call the cost C. The markup on C is 15% of C, which can be written as 0.15C. So the sale price is C + 0.15C = 1.15C.
Given that the sale price is $58.82, we can set up the following equation:
1.15C = $58.82
Solving for C, we divide both sides by 1.15:
C = $58.82 / 1.15 = $51.16
Therefore, the cost of the video game is $51.16.