Question

Brandon goes to a restaurant and the subtotal on the bill was xx dollars. A tax of 6% is applied to the bill. Brandon decides to leave a tip of 15% on the entire bill (including the tax). Write an expression in terms of xx that represents the total amount that Brandon paid.

Answer 1

To find the total amount that Brandon paid, we can break down the problem into steps.

1. **Calculate the tax on the bill**: The tax is 6% of the subtotal (xx). Thus, the tax amount is:
\[
0.06 \cdot xx
\]

2. **Calculate the total bill including tax**: The total bill (T) after adding the tax to the subtotal is:
\[
T = xx + 0.06 \cdot xx = xx(1 + 0.06) = xx \cdot 1.06
\]

3. **Calculate the tip**: The tip is 15% of the total bill (T):
\[
\text{Tip} = 0.15 \cdot T = 0.15 \cdot (xx \cdot 1.06) = 0.159 \cdot xx
\]

4. **Calculate the total amount paid**: The total amount paid (Total) is the total bill (T) plus the tip:
\[
\text{Total} = T + \text{Tip} = xx \cdot 1.06 + 0.159 \cdot xx
\]

Now, we can factor out xx from both terms:
\[
\text{Total} = xx(1.06 + 0.15) = xx(1.21)
\]

Therefore, the total amount that Brandon paid is:
\[
\text{Total} = 1.21 \cdot xx
\]

So, the final expression representing the total amount that Brandon paid in terms of xx is:
\[
\text{Total} = 1.21xx
\]