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A DVD is on sale for $1.05 off. This is a 15% discount from the original price. What equation can be used to solve this problem.

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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. :)

User AlexTR
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