Gabriella bought ff folders that cost $0.30 each and mm markers that cost $0.60 each. Sales tax is 3%. Which expression represents the total amount Gabriella paid, including tax?

Answer 1

To calculate the total amount Gabriella paid, including tax, we can break down the costs step by step:

1. Calculate the cost of the folders: If Gabriella bought \( ff \) folders, and each folder costs $0.30, the total cost for the folders is: \[ 0.30 \times ff \]

2. Calculate the cost of the markers: If Gabriella bought \( mm \) markers, and each marker costs $0.60, the total cost for the markers is: \[ 0.60 \times mm \]

3. Calculate the total cost before tax: The total cost before applying the sales tax is the sum of the costs of the folders and markers: \[ \text{Total cost before tax} = (0.30 \times ff) + (0.60 \times mm) \]

4. Calculate the sales tax: The sales tax is 3% of the total cost before tax. To express this as an equation: \[ \text{Sales tax} = 0.03 \times \text{Total cost before tax} \]

5. Express the total amount Gabriella paid, including tax: The total amount including sales tax is given by: \[ \text{Total amount} = \text{Total cost before tax} + \text{Sales tax} \] Substituting the previous expressions gives us: \[ \text{Total amount} = (0.30 \times ff) + (0.60 \times mm) + 0.03 \times ((0.30 \times ff) + (0.60 \times mm)) \]

6. Factor out the common term: \[ \text{Total amount} = (0.30 \times ff) + (0.60 \times mm) + 0.03 \times ((0.30 \times ff) + (0.60 \times mm)) = (1 + 0.03) \times ((0.30 \times ff) + (0.60 \times mm)) = 1.03 \times ((0.30 \times ff) + (0.60 \times mm)) \]

Thus, the expression that represents the total amount Gabriella paid, including tax, is: \[ 1.03 \times ((0.30 \times ff) + (0.60 \times mm)) \]