Question
Glenda makes an online purchase of 4 picture frames for $12.95 each and 4 mats for $5.89 each. The site says that taxes paid by the customer are 6.5% of the total purchase price. Shipping charges are based on the following table:
Amount of Purchase
Standard Shipping
Express Shipping
up to $50
$5.10
$7.00
$50 up to $100
$6.35
$8.20
$100 up to $200
$7.80
$11.60
$200 and over
$10.50
$16.45
Glenda selects express shipping for her purchase and the company bills her credit card $91.86 for the total of the online purchase. Determine if Glenda has been billed correctly for her purchase.
a.
Glenda has been billed correctly.
b.
Glenda has not been charged enough for her purchase.
c.
Glenda has been over charged by $3.40 for her purchase.
d.
Glenda has been over charged by $3.80 for her purchase.
Please select the best answer from the choices provided
A
B
C
D
Amount of Purchase
Standard Shipping
Express Shipping
up to $50
$5.10
$7.00
$50 up to $100
$6.35
$8.20
$100 up to $200
$7.80
$11.60
$200 and over
$10.50
$16.45
Glenda selects express shipping for her purchase and the company bills her credit card $91.86 for the total of the online purchase. Determine if Glenda has been billed correctly for her purchase.
a.
Glenda has been billed correctly.
b.
Glenda has not been charged enough for her purchase.
c.
Glenda has been over charged by $3.40 for her purchase.
d.
Glenda has been over charged by $3.80 for her purchase.
Please select the best answer from the choices provided
A
B
C
D
Answers
GPT-4o mini
To determine if Glenda has been billed correctly, we need to calculate the total cost of her purchase, including the cost of the picture frames, mats, taxes, and express shipping charges.
1. **Calculate the total cost of picture frames:**
- Price per frame = $12.95
- Number of frames = 4
- Total cost of frames = 4 × $12.95 = $51.80
2. **Calculate the total cost of mats:**
- Price per mat = $5.89
- Number of mats = 4
- Total cost of mats = 4 × $5.89 = $23.56
3. **Calculate the subtotal of the purchase:**
- Subtotal = Total cost of frames + Total cost of mats
- Subtotal = $51.80 + $23.56 = $75.36
4. **Calculate the tax:**
- Tax rate = 6.5%
- Tax amount = 0.065 × $75.36 = $4.90 (approximately)
5. **Calculate the total cost before shipping:**
- Total before shipping = Subtotal + Tax
- Total before shipping = $75.36 + $4.90 = $80.26
6. **Determine the shipping charge for express shipping:**
- Since the subtotal ($75.36) is between $50 and $100, the express shipping charge is $8.20.
7. **Calculate the final total:**
- Total cost = Total before shipping + Shipping charge
- Total cost = $80.26 + $8.20 = $88.46
Glenda has been billed $91.86, but the calculated total is $88.46.
8. **Determine if Glenda has been overcharged:**
- Overcharge amount = Billed amount - Calculated total
- Overcharge amount = $91.86 - $88.46 = $3.40
Since the calculated total is $88.46 and Glenda was billed $91.86, she has indeed been overcharged by $3.40.
The best answer to this question is:
**C - Glenda has been overcharged by $3.40 for her purchase.**
1. **Calculate the total cost of picture frames:**
- Price per frame = $12.95
- Number of frames = 4
- Total cost of frames = 4 × $12.95 = $51.80
2. **Calculate the total cost of mats:**
- Price per mat = $5.89
- Number of mats = 4
- Total cost of mats = 4 × $5.89 = $23.56
3. **Calculate the subtotal of the purchase:**
- Subtotal = Total cost of frames + Total cost of mats
- Subtotal = $51.80 + $23.56 = $75.36
4. **Calculate the tax:**
- Tax rate = 6.5%
- Tax amount = 0.065 × $75.36 = $4.90 (approximately)
5. **Calculate the total cost before shipping:**
- Total before shipping = Subtotal + Tax
- Total before shipping = $75.36 + $4.90 = $80.26
6. **Determine the shipping charge for express shipping:**
- Since the subtotal ($75.36) is between $50 and $100, the express shipping charge is $8.20.
7. **Calculate the final total:**
- Total cost = Total before shipping + Shipping charge
- Total cost = $80.26 + $8.20 = $88.46
Glenda has been billed $91.86, but the calculated total is $88.46.
8. **Determine if Glenda has been overcharged:**
- Overcharge amount = Billed amount - Calculated total
- Overcharge amount = $91.86 - $88.46 = $3.40
Since the calculated total is $88.46 and Glenda was billed $91.86, she has indeed been overcharged by $3.40.
The best answer to this question is:
**C - Glenda has been overcharged by $3.40 for her purchase.**