Camden bought ff folders that cost $0.25 each and mm markers that cost $0.40 each. Sales tax is 5.75%. Which expression represents the total amount Camden paid, including tax?

Answer 1

To find the total amount Camden paid for ff folders and mm markers, including sales tax, we will break down the costs and include the tax.

1. Calculate the total cost of the folders:

   • Each folder costs $0.25, so for ff folders, the total cost is: \[ 0.25 \times ff \]

2. Calculate the total cost of the markers:

   • Each marker costs $0.40, so for mm markers, the total cost is: \[ 0.40 \times mm \]

3. Calculate the total cost before tax:

   • The total cost before tax is the sum of the costs of folders and markers: \[ \text{Total Cost Before Tax} = (0.25 \times ff) + (0.40 \times mm) \]

4. Calculate the sales tax:

   • The sales tax rate is 5.75%, which can be expressed as 0.0575. So, the total tax is: \[ \text{Sales Tax} = 0.0575 \times \text{Total Cost Before Tax} \]

5. Calculate the total amount paid (including tax):

   • The total amount Camden paid including tax is: \[ \text{Total Amount Paid} = \text{Total Cost Before Tax} + \text{Sales Tax} \]
   • This can be combined into a single expression: \[ \text{Total Amount Paid} = \text{Total Cost Before Tax} \times (1 + 0.0575) \]
   • Substituting the expression for total cost before tax gives: \[ \text{Total Amount Paid} = \left((0.25 \times ff) + (0.40 \times mm)\right) \times 1.0575 \]

Thus, the expression that represents the total amount Camden paid, including tax, is:

\[ \left((0.25 \times ff) + (0.40 \times mm)\right) \times 1.0575 \]