Question

"The total on Oleg's sales receipt is $428.50, which includes a 9% sales tax. Which

equation below could be used to find the price of the items before tax?"
1. x + 0.09x = 428.50
2. x - 0.09x = 428.50
3. x = 428.50
4. x + 0.09 = 428.50

Answer 1

The correct equation to find the price before the 9% sales tax is Option 1, x + 0.09x = 428.50. Solving this equation shows that the original price of the items was approximately $393.12.

Step-by-step explanation:

To find the price of the items before the sales tax was added, we need to set up an equation that represents the total cost after the 9% sales tax is added to the original price. The correct equation to represent this situation is:

x + 0.09x = 428.50

Where x is the original price of the items before tax. The total amount x plus 9% of x (which is the sales tax) equals $428.50, the final amount on Oleg's sales receipt. This means that Option 1 accurately portrays the situation and can be used to find the original price before tax.

You can solve the equation as follows:

1.09x = 428.50
Divide both sides by 1.09 to find the value of x.

x = 428.50 / 1.09
x ≈ $393.12

Therefore, the price of the items before the sales tax was approximately $393.12.