Question

B

A different computer is advertised as 40% off of the original price. After the discount, the tax is $44.64.
• Determine the total price of this computer after the discount and tax are applied.
• Show your work or explain your answer.
• Determine the original price of this computer.
• Show your work or explain your answer.
Enter your answers and your work or explanations in the space provided.

Answer 1

To find the total price after discount and tax, divide the discounted price by 1 minus the discount percent and then add the sales tax. The original price of the computer can be found by dividing the total price after discount and tax by 1 minus the discount percent.

Step-by-step explanation:

Total Price after Discount and Tax

To find the total price of the computer after the discount and tax are applied, follow these steps:

1. Find the price of the computer before the discount by dividing the discounted price by (1 - discount percent). In this case, the discount percent is 40%, so the price before the discount is $44.64 / (1 - 0.40) = $74.40.
2. Add the sales tax to the price before the discount. In this case, the sales tax is $44.64. So, the total price after the discount and tax is $74.40 + $44.64 = $119.04.

Original Price of the Computer

To find the original price of the computer, divide the total price after the discount and tax by (1 - discount percent). In this case, divide $119.04 by (1 - 0.40) to get $198.40.