1. **State the problem:** We need to find Mrs. Freeman's correct bank account balance after a check and a deposit. 2. **Identify the information:** - Initial balance: $442.37 - Check written (withdrawal): $63.92 - Deposit made: $350.00 3. **Plan:** We will subtract the check amount from the initial balance and then add the deposit to find the final balance. 4. **Set up the calculation:** $$\text{Final balance} = \text{Initial balance} - \text{Check} + \text{Deposit}$$ 5. **Calculate step-by-step:** $$442.37 - 63.92 = \cancel{442.37} - \cancel{63.92} = 378.45$$ $$378.45 + 350.00 = 728.45$$ 6. **Conclusion:** Mrs. Freeman's correct balance is $728.45, not $729.45. 7. **Evaluate reasonableness:** Since the deposit is larger than the check, the final balance should be more than the initial balance but less than $442.37 + 350.00 = 792.37$. Our answer $728.45$ fits this expectation.