Question

Oliver goes to a restaurant and the subtotal on the bill was xx dollars. A tax of 5% is applied to the bill. Oliver decides to leave a tip of 16% on the entire bill (including the tax). Write an expression in terms of xx that represents the total amount that Oliver paid.

Answer 1

To calculate the total amount that Oliver paid, we need to follow these steps:

1. **Calculate the tax:** The tax is 5% of the subtotal, which is \(0.05 \times xx\).
2. **Calculate the total bill including tax:** This is the subtotal plus the tax:
\[
\text{Total bill} = xx + (0.05 \times xx) = xx + 0.05xx = 1.05xx
\]
3. **Calculate the tip:** The tip is 16% of the total bill. Thus, we have:
\[
\text{Tip} = 0.16 \times (1.05xx) = 0.168xx
\]
4. **Calculate the total amount paid:** This is the total bill plus the tip:
\[
\text{Total amount paid} = (1.05xx) + (0.168xx) = 1.05xx + 0.168xx = 1.218xx
\]

So, the expression in terms of \(xx\) that represents the total amount Oliver paid is:
\[
\boxed{1.218xx}
\]