Kurt Went To The Store To Buy The Food Items Shown In The Table. Sales Tax Is 5%. He Hands The Checkout Clerk A $10 Bill And Pays The Rest Using His Debit Card. Which Expression Equals The Amount Charged To His Card? A.
Understanding the Problem
Kurt visits a store to purchase various food items, and he needs to pay for them using a combination of cash and his debit card. The sales tax rate is 5%, and he pays the remaining amount after handing the checkout clerk a $10 bill. In this scenario, we need to determine the expression that equals the amount charged to his debit card.
Given Information
- The sales tax rate is 5%.
- Kurt pays with a $10 bill and his debit card.
- The food items purchased are listed in the table below.
| Item | Price |
|---|---|
| A | $2.50 |
| B | $3.75 |
| C | $4.25 |
| D | $1.00 |
Calculating the Total Cost
To find the total cost of the items, we need to add the prices of all the items and then apply the sales tax rate.
- Calculate the subtotal: Add the prices of all the items.
- Subtotal = $2.50 + $3.75 + $4.25 + $1.00 = $11.50
- Apply the sales tax: Calculate the sales tax by multiplying the subtotal by the sales tax rate (5%).
- Sales tax = $11.50 * 0.05 = $0.575
- Calculate the total cost: Add the subtotal and the sales tax to find the total cost.
- Total cost = $11.50 + $0.575 = $12.075
Determining the Amount Charged to the Debit Card
Since Kurt pays with a $10 bill, the amount charged to his debit card will be the difference between the total cost and the $10 bill.
- Amount charged to the debit card = Total cost - $10
- Amount charged to the debit card = $12.075 - $10 = $2.075
Expression for the Amount Charged to the Debit Card
The expression that equals the amount charged to Kurt's debit card can be represented as:
- Amount charged to the debit card = (Subtotal + (Subtotal * Sales tax rate)) - $10
- Amount charged to the debit card = ($11.50 + ($11.50 * 0.05)) - $10
- Amount charged to the debit card = ($11.50 + $0.575) - $10
- Amount charged to the debit card = $12.075 - $10
- Amount charged to the debit card = $2.075
Conclusion
In this scenario, Kurt pays for his food items using a combination of cash and his debit card. The sales tax rate is 5%, and he pays the remaining amount after handing the checkout clerk a $10 bill. The expression that equals the amount charged to his debit card is ($11.50 + ($11.50 * 0.05)) - $10, which simplifies to $2.075.
Key Takeaways
- When calculating the amount charged to a debit card, subtract the cash payment from the total cost.
- The total cost is the sum of the subtotal and the sales tax.
- The sales tax is calculated by multiplying the subtotal by the sales tax rate.
Real-World Applications
Understanding the Problem
Kurt visits a store to purchase various food items, and he needs to pay for them using a combination of cash and his debit card. The sales tax rate is 5%, and he pays the remaining amount after handing the checkout clerk a $10 bill. In this scenario, we need to determine the expression that equals the amount charged to his debit card.
Q&A Session
Q: What is the sales tax rate in this scenario?
A: The sales tax rate is 5%.
Q: What is the total cost of the items purchased by Kurt?
A: To find the total cost, we need to add the prices of all the items and then apply the sales tax rate.
- Calculate the subtotal: Add the prices of all the items.
- Subtotal = $2.50 + $3.75 + $4.25 + $1.00 = $11.50
- Apply the sales tax: Calculate the sales tax by multiplying the subtotal by the sales tax rate (5%).
- Sales tax = $11.50 * 0.05 = $0.575
- Calculate the total cost: Add the subtotal and the sales tax to find the total cost.
- Total cost = $11.50 + $0.575 = $12.075
Q: What is the amount charged to Kurt's debit card?
A: Since Kurt pays with a $10 bill, the amount charged to his debit card will be the difference between the total cost and the $10 bill.
- Amount charged to the debit card = Total cost - $10
- Amount charged to the debit card = $12.075 - $10 = $2.075
Q: What is the expression that equals the amount charged to Kurt's debit card?
A: The expression that equals the amount charged to Kurt's debit card is:
- Amount charged to the debit card = (Subtotal + (Subtotal * Sales tax rate)) - $10
- Amount charged to the debit card = ($11.50 + ($11.50 * 0.05)) - $10
- Amount charged to the debit card = ($11.50 + $0.575) - $10
- Amount charged to the debit card = $12.075 - $10
- Amount charged to the debit card = $2.075
Q: What is the key takeaway from this problem?
A: When calculating the amount charged to a debit card, subtract the cash payment from the total cost. The total cost is the sum of the subtotal and the sales tax. The sales tax is calculated by multiplying the subtotal by the sales tax rate.
Q: What is the real-world application of this problem?
A: This problem demonstrates the importance of understanding sales tax and calculating the total cost of items. In real-world scenarios, sales tax rates can vary, and it's essential to consider these rates when making purchases. By applying the concepts learned in this problem, individuals can make informed decisions about their spending and ensure they are not overpaying for their purchases.
Conclusion
In this Q&A session, we have discussed the problem of Kurt's shopping trip and calculated the amount charged to his debit card. We have also answered various questions related to the problem and provided key takeaways and real-world applications. By understanding the concepts learned in this problem, individuals can make informed decisions about their spending and ensure they are not overpaying for their purchases.