To solve the sales tax problems, we need to calculate the amount of sales tax each person paid based on the given purchase price and the sales tax rate for their state. The formula to calculate sales tax is:
\[
\text{Sales Tax} = \text{Purchase Price} \times \text{Sales Tax Rate}
\]
Let's solve each problem step by step.
---
Problem 1: John bought a new couch for $450. Sales tax in his state is 7.75%. How much did he pay in sales tax?
1.
Identify the given values:
- Purchase Price = $450
- Sales Tax Rate = 7.75% = 0.0775 (convert percentage to decimal)
2.
Apply the formula:
\[
\text{Sales Tax} = 450 \times 0.0775
\]
3.
Perform the multiplication:
\[
450 \times 0.0775 = 34.875
\]
4.
Round to the nearest cent (if necessary):
\[
34.875 \approx 34.88
\]
Answer: John paid $34.88 in sales tax.
---
Problem 2: Sara bought a TV for $800. Sales tax in her state is 8.5%. How much did she pay in sales tax?
1.
Identify the given values:
- Purchase Price = $800
- Sales Tax Rate = 8.5% = 0.085 (convert percentage to decimal)
2.
Apply the formula:
\[
\text{Sales Tax} = 800 \times 0.085
\]
3.
Perform the multiplication:
\[
800 \times 0.085 = 68
\]
Answer: Sara paid $68 in sales tax.
---
Problem 3: Leila bought dinner for $29. Sales tax in her state is 6.05%. How much did she pay in sales tax?
1.
Identify the given values:
- Purchase Price = $29
- Sales Tax Rate = 6.05% = 0.0605 (convert percentage to decimal)
2.
Apply the formula:
\[
\text{Sales Tax} = 29 \times 0.0605
\]
3.
Perform the multiplication:
\[
29 \times 0.0605 = 1.7545
\]
4.
Round to the nearest cent:
\[
1.7545 \approx 1.75
\]
Answer: Leila paid $1.75 in sales tax.
---
Problem 4: Rick bought a new bike for $260. Sales tax in his state is 8%. How much did he pay in sales tax?
1.
Identify the given values:
- Purchase Price = $260
- Sales Tax Rate = 8% = 0.08 (convert percentage to decimal)
2.
Apply the formula:
\[
\text{Sales Tax} = 260 \times 0.08
\]
3.
Perform the multiplication:
\[
260 \times 0.08 = 20.8
\]
Answer: Rick paid $20.80 in sales tax.
---
Final Answers:
1. John paid \(\boxed{34.88}\) in sales tax.
2. Sara paid \(\boxed{68}\) in sales tax.
3. Leila paid \(\boxed{1.75}\) in sales tax.
4. Rick paid \(\boxed{20.80}\) in sales tax.
Parent Tip: Review the logic above to help your child master the concept of sales tax worksheet for students.
