Question
You purchased 10.75 gallons of gasoline at $3.60/gallon. You also bought a cookie ($1.25) and windshield wiper fluid ($4.97). The state has a food tax of 4%. You gave the clerk $20.00 and the remaining amount owed was charged to your debit card. How much was charged to your debit card?
(1 point)
Responses
$24.92
$24.92
$44.92
$44.92
$24.97
$24.97
$44.97
(1 point)
Responses
$24.92
$24.92
$44.92
$44.92
$24.97
$24.97
$44.97
Answers
GPT-4o mini
To calculate the total amount charged to your debit card, let's break it down step-by-step.
1. **Cost of gasoline:**
- 10.75 gallons at $3.60/gallon:
\[
\text{Cost of gasoline} = 10.75 \times 3.60 = 38.70
\]
2. **Cost of cookie:**
- $1.25
3. **Cost of windshield wiper fluid:**
- $4.97
4. **Total cost before tax (gasoline + cookie + windshield wiper fluid):**
\[
\text{Total cost before tax} = 38.70 + 1.25 + 4.97 = 44.92
\]
5. **Tax on cookie (food tax of 4%):**
- Only the cookie is taxable, so:
\[
\text{Tax on cookie} = 1.25 \times 0.04 = 0.05
\]
6. **Total amount after including tax:**
\[
\text{Total amount} = 44.92 + 0.05 = 44.97
\]
7. **Amount paid in cash:**
- You gave the clerk $20.00.
8. **Amount charged to debit card:**
\[
\text{Amount charged to debit card} = \text{Total amount} - \text{Amount paid in cash}
\]
\[
\text{Amount charged to debit card} = 44.97 - 20.00 = 24.97
\]
Thus, the amount charged to your debit card is **$24.97**.
1. **Cost of gasoline:**
- 10.75 gallons at $3.60/gallon:
\[
\text{Cost of gasoline} = 10.75 \times 3.60 = 38.70
\]
2. **Cost of cookie:**
- $1.25
3. **Cost of windshield wiper fluid:**
- $4.97
4. **Total cost before tax (gasoline + cookie + windshield wiper fluid):**
\[
\text{Total cost before tax} = 38.70 + 1.25 + 4.97 = 44.92
\]
5. **Tax on cookie (food tax of 4%):**
- Only the cookie is taxable, so:
\[
\text{Tax on cookie} = 1.25 \times 0.04 = 0.05
\]
6. **Total amount after including tax:**
\[
\text{Total amount} = 44.92 + 0.05 = 44.97
\]
7. **Amount paid in cash:**
- You gave the clerk $20.00.
8. **Amount charged to debit card:**
\[
\text{Amount charged to debit card} = \text{Total amount} - \text{Amount paid in cash}
\]
\[
\text{Amount charged to debit card} = 44.97 - 20.00 = 24.97
\]
Thus, the amount charged to your debit card is **$24.97**.