To obtain Drian's final bill, the following steps are necessary:
Step 1: Find the separate amounts Drian paid as tax, and as tip, as shown below:
- Tax = 6% of $ 150, which is:
![\begin{gathered} \text{Tax = }(6)/(100)*150=(900)/(100)=9 \\ \Rightarrow\text{ Tax = 9 dollars} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/rli67fqehpa2ck01mzlnfvu92tnh39sz9z.png)
- Tip = 15% of $ 150, which is:
![\begin{gathered} \text{Tip}=\text{ }(15)/(100)*150=(2250)/(100)=22.5 \\ \Rightarrow\text{ Tip = 22.5 dollars} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/j01r25tv5en92529xy2frdg28qmar0er63.png)
Step 2: Add the separate amounts of the tax and tip to the initial bill given to Drian in order to obtain his final bill, as follows:
![Fi\text{nal bill = initial bill + tax + tip}](https://img.qammunity.org/2023/formulas/mathematics/college/6oh3w3xfwd5wdm3redc3g0hrug3lvm8y58.png)
Since:
Initital bill = $ 150
Tax = $ 9
Tip = $ 22.5
Therefore:
![\begin{gathered} Fi\text{nal bill = initial bill + tax + tip} \\ Fi\text{nal bill = 150 + 9 + }22.5\text{ = 181.5} \\ \Rightarrow Fi\text{nal bill = }181.5\text{ dollars} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/fbjxfh56qzf3cq1cczs8dwocy29dzb27in.png)
Therefore, Drian's final bill is $ 181.5