Aubree bought ff folders that cost $0.65 each and mm markers that cost $0.50 each. Sales tax is 5%. Which expression represents the total amount Aubree paid, including tax?

Answer 1

To find the total amount Aubree paid, including tax, we can use the following steps:

1. Calculate the cost of the folders and markers:

   • The cost of \( ff \) folders at $0.65 each is \( 0.65 \times ff \).
   • The cost of \( mm \) markers at $0.50 each is \( 0.50 \times mm \).

2. Add the costs of folders and markers to get the total cost before tax: \[ \text{Total cost before tax} = (0.65 \times ff) + (0.50 \times mm) \]

3. Calculate the sales tax, which is 5% of the total cost before tax: \[ \text{Sales tax} = 0.05 \times \left( (0.65 \times ff) + (0.50 \times mm) \right) \]

4. Add the sales tax to the total cost before tax to get the total amount paid: \[ \text{Total amount paid} = \left( (0.65 \times ff) + (0.50 \times mm) \right) + \left( 0.05 \times \left( (0.65 \times ff) + (0.50 \times mm) \right) \right) \]

5. This can be simplified to: \[ \text{Total amount paid} = 1.05 \times \left( (0.65 \times ff) + (0.50 \times mm) \right) \]

Thus, the expression that represents the total amount Aubree paid, including tax, is: \[ 1.05 \times \left( 0.65 \times ff + 0.50 \times mm \right) \]