Marj has two $20 bills, so she has a total of 2 * $20 = $40 in $20 bills.
She also has three $5 bills, so she has a total of 3 * $5 = $15 in $5 bills.
In loose coins, she has $4.50.
Therefore, Marj has a total of $40 + $15 + $4.50 = $59.50 in her wallet.
If she purchases a cake for $17.50, she will have $59.50 - $17.50 = $42 remaining in her wallet.
#### 42
The answer is: 42
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
If Marj has two $20 bills, three $5 bills, and $4.50 in loose coins in her wallet, and she purchases a cake for $17.50, how much money will she have remaining in her wallet?

### Answer:
