College

Mei paid [tex]$1.64$[/tex] in sales tax on a purchase of [tex]$20.50$[/tex]. What is the sales tax rate?

Answer :

Sure! Let's find out the sales tax rate based on the information provided.

1. Identify the Amounts:
- Mei paid a total sales tax of [tex]$1.64.
- The purchase price before tax was $[/tex]20.50.

2. Understand What He wants to find:
- We need to find the sales tax rate as a percentage.

3. Calculate the Sales Tax Rate:
- To find the sales tax rate, we will divide the sales tax amount by the purchase price and then multiply by 100 to convert it into a percentage.

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

4. Substitute the Given Values:
[tex]\[
\text{Sales Tax Rate} = \left(\frac{1.64}{20.50}\right) \times 100
\][/tex]

5. Calculate the Result:
- After performing the division and then the multiplication:

[tex]\[
\text{Sales Tax Rate} \approx 8.0
\][/tex]

Therefore, the sales tax rate is approximately 8.0%.