To solve this problem, we can use the equation:
Original price - Discount = Sale price
Let's break it down step by step:
1. Let's assume the original price of the DVD is "x" dollars.
2. We know that there is a 15% discount, which means the discount amount is 15% of the original price, or 0.15x dollars.
3. The problem states that the DVD is on sale for $1.05 off, so the discount amount is $1.05.
4. Now we can set up the equation:
x - 0.15x = x - 0.15x - 1.05
Simplifying, we get:
0.85x = x - 1.05
5. We can subtract x from both sides of the equation to isolate the variable on one side:
0.85x - x = -1.05
Simplifying further, we get:
-0.15x = -1.05
6. To solve for x, we divide both sides of the equation by -0.15:
-0.15x / -0.15 = -1.05 / -0.15
Simplifying, we get:
x = 7
Therefore, the original price of the DVD is $7.
I hope this helps! Please feel free to ask any questions if necessary. :)