Answered

Suppose there are two stores. One sells [tex]$85 designer jeans with a $[/tex]20-off coupon, and the other sells $72 designer jeans during a 10%-off sale. If you include the 4.5% sales tax, which jeans are more expensive?



Answer :

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.