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The discount on a new computer was $180$⁢180. This was a discount of 18%18%.Step 3 of 3 :  What would a customer pay for the computer if a 4%4% sales tax was added to the sale price? Follow the problem-solving process and round your answer to the nearest cent, if necessary.

Question

The discount on a new computer was 180180⁢180. This was a discount of 18%18%.Step 3 of 3 :  What would a customer pay for the computer if a 4%4% sales tax was added to the sale price? Follow the problem-solving process and round your answer to the nearest cent, if necessary.

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Solution

Step 1: Find the original price of the computer

The discount was 18% of the original price. So, we can set up the equation:

0.18 * Original Price = $180

Solving for Original Price gives us:

Original Price = 180/0.18=180 / 0.18 = 1000

Step 2: Find the sale price of the computer

The sale price would be the original price minus the discount. So:

Sale Price = Original Price - Discount = 10001000 - 180 = $820

Step 3: Calculate the total cost with sales tax

The sales tax is 4% of the sale price. So, we calculate the amount of sales tax as:

Sales Tax = 0.04 * Sale Price = 0.04 * 820=820 = 32.80

Finally, we add the sales tax to the sale price to find the total cost:

Total Cost = Sale Price + Sales Tax = 820+820 + 32.80 = $852.80

So, a customer would pay $852.80 for the computer if a 4% sales tax was added to the sale price.

This problem has been solved

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