Question

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:
\[
pp \times 0.55 \times 1.05
\]