Question

vernon lives in north carolina, which has a sales tax of 5.5%. he just bought a vacuum cleaner whose full price was $160, but he got 40% off, because the store was having a sale. what was the total amount that vernon paid?

$96.00
$101.28
$64.00
$67.52

Answer 1

To find out how much Vernon paid for the vacuum cleaner, we need to follow these steps:

1. Calculate the discount on the vacuum cleaner.
2. Subtract the discount from the full price to find the sale price.
3. Calculate the sales tax on the sale price.
4. Add the sales tax to the sale price to find the total amount paid.

### Step 1: Calculate the discount

The full price of the vacuum cleaner is $160, and the discount is 40%.

\[
\text{Discount} = \text{Full Price} \times \text{Discount Rate}
\]
\[
\text{Discount} = 160 \times 0.40 = 64
\]

### Step 2: Calculate the sale price

Now, subtract the discount from the full price:

\[
\text{Sale Price} = \text{Full Price} - \text{Discount}
\]
\[
\text{Sale Price} = 160 - 64 = 96
\]

### Step 3: Calculate the sales tax

Now, we need to calculate the sales tax on the sale price of $96 with the sales tax rate of 5.5%.

\[
\text{Sales Tax} = \text{Sale Price} \times \text{Sales Tax Rate}
\]
\[
\text{Sales Tax} = 96 \times 0.055 = 5.28
\]

### Step 4: Calculate the total amount paid

Finally, add the sales tax to the sale price:

\[
\text{Total Amount Paid} = \text{Sale Price} + \text{Sales Tax}
\]
\[
\text{Total Amount Paid} = 96 + 5.28 = 101.28
\]

Thus, the total amount that Vernon paid is **$101.28**.