We will investigate how to determine the amount of money Mark started off with at the beginning off the day.
We will assume and declare a variable to Mark's bank balance at the beginning off the day:
![P\text{ = Inital balance}](https://img.qammunity.org/2023/formulas/mathematics/college/osi8xsc8q0mp8pnulh94nqm4f3dp4r9kxb.png)
Then mark sets out for movies and gets himself snacks to enjoy along his movies. The total receipt charged for his excursion is:
![E\text{( expenses ) = \$24}](https://img.qammunity.org/2023/formulas/mathematics/college/xziu1eu6q6wtu9tqz2rkal199d7hid53d8.png)
After his day expenses he will be left with a closing balance for the day. The closing balance of the day is expressed as:
![\text{Closing Balance = Initial Balance - Expenses}](https://img.qammunity.org/2023/formulas/mathematics/college/e9lx26it2tn72tyuq7a8hufpilv6at5fm2.png)
We are given that mark was left with $12. This means:
![\text{Closing Balance = \$12}](https://img.qammunity.org/2023/formulas/mathematics/college/1cpsxpzb3usetb4vm8g1zpnl9j1ki0nc24.png)
Using the expression above we can write:
![12\text{ = P - 24}](https://img.qammunity.org/2023/formulas/mathematics/college/9bjey0hvba4cqy8orkg21hvkkiwe074fco.png)
We will solve the above expression for initial balance ( P ) as follows:
![\begin{gathered} P\text{ = 12 }+\text{ 24} \\ P\text{ = \$36} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/e234h4fjhxwnljc2wtxo9hv2pmohgeoi4c.png)
Therefore, the answer is:
![\text{\$36}](https://img.qammunity.org/2023/formulas/mathematics/college/brxslek5a88i9ovuj24ygsaqj84y85plmk.png)