Nevaeh bought pp pencils that cost $0.55 each. Sales tax is 5%. Which expression represents the total amount Nevaeh paid, including tax?

Answer 1

To find the total amount Nevaeh paid, including sales tax, we can break it down into two parts: the cost of the pencils and the sales tax.

1. Cost of the pencils: If Nevaeh bought \( pp \) pencils at a cost of $0.55 each, the total cost before tax can be represented as: \[ \text{Total Cost} = pp \times 0.55 \]

2. Sales tax: The sales tax is 5% of the total cost, which can be calculated as: \[ \text{Sales Tax} = 0.05 \times \text{Total Cost} = 0.05 \times (pp \times 0.55) \]

3. Total amount paid: The total amount Nevaeh paid, including tax, is the sum of the total cost and the sales tax. This can be expressed as: \[ \text{Total Amount Paid} = \text{Total Cost} + \text{Sales Tax} = (pp \times 0.55) + (0.05 \times (pp \times 0.55)) \]

You can factor this expression to simplify it: \[ \text{Total Amount Paid} = pp \times 0.55 \times (1 + 0.05) \] \[ \text{Total Amount Paid} = pp \times 0.55 \times 1.05 \]

Thus, the expression that represents the total amount Nevaeh paid, including tax, is: \[ pp \times 0.55 \times 1.05 \]