After becoming a commercial pilot, Lorna Kao decides to purchase a Cessna 182 for $64,735. Assuming the sales tax is 5.1% of the purchase price, find each of the following.


To solve this problem, we need to calculate the sales tax based on the purchase price and then find the total cost after including the sales tax.

### Given:
- Purchase price = \$64,735
- Sales tax rate = 5.1% 

#### 1. **Sales Tax Calculation**
The sales tax is calculated as a percentage of the purchase price. The formula to calculate the sales tax is:

\[
\text{Sales Tax} = \text{Purchase Price} \times \left(\frac{\text{Sales Tax Rate}}{100}\right)
\]

Substitute the values:

\[
\text{Sales Tax} = 64,735 \times \frac{5.1}{100} = 64,735 \times 0.051
\]

Now, let's calculate the sales tax:

\[
\text{Sales Tax} = 3,301.49
\]

#### 2. **Total Cost**
The total cost is the sum of the purchase price and the sales tax. The formula is:

\[
\text{Total Cost} = \text{Purchase Price} + \text{Sales Tax}
\]

Substitute the values:

\[
\text{Total Cost} = 64,735 + 3,301.49 = 68,036.49
\]

### Final Results:
- **Sales tax** = \$3,301.49
- **Total cost** = \$68,036.49

Would you like more details or further clarification?

Here are five related questions for further exploration:
1. What would the sales tax be if the rate were increased to 7%?
2. How would a 10% discount on the original price affect the sales tax?
3. If Lorna made a down payment of 20%, what would the remaining balance be?
4. What would be the monthly payments if she financed the remaining amount at an interest rate of 4% for 5 years?
5. How does the total cost compare to buying another aircraft priced at $70,000 with no sales tax?

**Tip:** When calculating percentages, multiplying the percentage as a decimal (e.g., 5.1% = 0.051) simplifies the process!

After becoming a commercial pilot, Lorna Kao decides to purchase a Cessna 182 for $64,735. Assuming the sales tax is 5.1% of the purchase price, find each of the following.

Learn how to calculate the sales tax and total cost of purchasing a Cessna 182 for $64,735 with a 5.1% sales tax. This solution covers the step-by-step process of determining the sales tax amount and final total cost. Suitable for students in Grades 6-8.

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