Let's work through the purchase step-by-step to determine if Glenda has been billed correctly. Here are the key items to consider:
1. Cost of Picture Frames:
- Glenda buys 4 picture frames.
- Each frame costs \[tex]$12.95.
- Total cost for frames = \( 4 \times 12.95 = 51.80 \).
2. Cost of Mats:
- Glenda buys 4 mats.
- Each mat costs \$[/tex]5.89.
- Total cost for mats = [tex]\( 4 \times 5.89 = 23.56 \)[/tex].
3. Total Purchase Price Before Tax:
- Total cost = cost of frames + cost of mats
- Total cost = [tex]\( 51.80 + 23.56 = 75.36 \)[/tex].
4. Sales Tax:
- Sales tax rate is 6.5%.
- Sales tax = [tex]\( 0.065 \times 75.36 = 4.90 \)[/tex].
5. Shipping Charges:
- According to the table, for a purchase amount between \[tex]$50 and \$[/tex]100, express shipping is \[tex]$8.20.
- Shipping charges = \$[/tex]8.20.
6. Total Cost Including Tax and Shipping:
- Total cost including tax and shipping = total purchase price before tax + sales tax + shipping charges
- Total cost = [tex]\( 75.36 + 4.90 + 8.20 = 88.46 \)[/tex].
7. Comparing with Billed Amount:
- The company billed Glenda \[tex]$91.86.
- Difference between the billed amount and the total calculated cost = \( 91.86 - 88.46 = 3.40 \).
Since the difference calculated confirms the billing discrepancy, we conclude:
c. Glenda has been over charged by \$[/tex]3.40 for her purchase.
