To model the situation with an equation, we can start by noting that Josie had some initial amount of money \( m \). After buying the expansion pack for $19.14, she had $25.86 left in her wallet.
This situation can be expressed with the following equation:
\[ m - 19.14 = 25.86 \]
Now we can solve for \( m \):
- Add $19.14 to both sides of the equation:
\[ m = 25.86 + 19.14 \]
- Now, calculate the right-hand side:
\[ m = 45.00 \]
So, Josie had $45.00 to start.