Suppose you make a purchase for $677.15. You get a 10% discount, and sales tax is 7.4%.


Compute the sales tax. Round your answer to the nearest cent.                                                                                                     Compute the final cost of the purchase. Round your answer to the nearest cent.




Let's break down the problem into steps:

### 1. **Calculate the Discounted Price**
You are given a 10% discount on the purchase amount of \$677.15. 

\[
\text{Discount} = 10\% \times 677.15 = 0.10 \times 677.15 = 67.72
\]

Now, subtract the discount from the original price to get the discounted price:

\[
\text{Discounted Price} = 677.15 - 67.72 = 609.43
\]

### 2. **Calculate the Sales Tax**
The sales tax is 7.4% of the discounted price. So, let's calculate that:

\[
\text{Sales Tax} = 7.4\% \times 609.43 = 0.074 \times 609.43 = 45.10
\]

### 3. **Calculate the Final Cost**
The final cost is the sum of the discounted price and the sales tax:

\[
\text{Final Cost} = 609.43 + 45.10 = 654.53
\]

### **Answers:**
- The sales tax is **\$45.10**.
- The final cost of the purchase is **\$654.53**.

Would you like more details or explanations?

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Here are 5 related questions you might find helpful:
1. What if the discount was 15% instead of 10%?
2. How would the final price change if the sales tax rate increased to 8%?
3. If the original price was \$800, how much would the total cost be with the same discount and sales tax?
4. How would you calculate the price if no discount was applied?
5. What would be the impact of applying the sales tax before the discount?

**Tip:** When calculating percentages, convert percentages to decimals by dividing by 100 (e.g., 7.4% becomes 0.074).

Suppose you make a purchase for $677.15. You get a 10% discount, and sales tax is 7.4%. Compute the sales tax. Round your answer to the nearest cent. Compute the final cost of the purchase. Round your answer to the nearest cent.

Learn how to calculate the discount and sales tax for a $677.15 purchase with a 10% discount and 7.4% sales tax. Find out how to compute the sales tax of $45.10 and the final cost of $654.53 with step-by-step instructions. Ideal for Grades 6-8 students.

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