Alright, let's break this problem down step-by-step for both stores:
### Store 1
1. Initial Price: [tex]$85
2. Discount: $[/tex]20-off coupon
- This reduces the price to:
```
[tex]$85 - $[/tex]20 = [tex]$65
```
3. Sales Tax Rate: 4.5%
- To find the sales tax, we calculate:
```
Sales Tax = $[/tex]65 * 0.045 = [tex]$2.925
```
- Adding the sales tax to the discounted price gives the final price:
```
$[/tex]65 + [tex]$2.925 = $[/tex]67.925
```
### Store 2
1. Initial Price: [tex]$72
2. Discount: 10%-off sale
- First, calculate the discount amount:
```
Discount = $[/tex]72 * 0.10 = [tex]$7.20
```
- This reduces the price to:
```
$[/tex]72 - [tex]$7.20 = $[/tex]64.8
```
3. Sales Tax Rate: 4.5%
- To find the sales tax, we calculate:
```
Sales Tax = [tex]$64.8 * 0.045 = $[/tex]2.916
```
- Adding the sales tax to the discounted price gives the final price:
```
[tex]$64.8 + $[/tex]2.916 = [tex]$67.716
```
### Conclusion
- The final price of the jeans at Store 1 is $[/tex]67.925.
- The final price of the jeans at Store 2 is $67.716.
Therefore, the jeans at Store 1 are more expensive than the jeans at Store 2 when including the 4.5% sales tax.
