Let's carefully verify each step of Adrienne's balancing process to identify the error.
1. Initial Balance:
Adrienne's starting balance was [tex]$320.00.
2. ATM Transaction:
- Withdrawal: $[/tex]60.00
- Transaction Fee: [tex]$2.00
The total amount debited from the ATM transaction should be \( 60.00 + 2.00 = 62.00 \).
After this transaction, the balance is:
\[
320.00 - 62.00 = 258.00
\]
3. Grocery Store Transaction:
- Amount Debited: $[/tex]32.50
After the grocery store transaction, the balance becomes:
[tex]\[
258.00 - 32.50 = 225.50
\][/tex]
4. Paycheck Deposit:
- Amount Credited: [tex]$1200.00
After depositing the paycheck, the balance becomes:
\[
225.50 + 1200.00 = 1425.50
\]
So, the final balance after recording all the transactions should be $[/tex]1425.50.
5. Recorded Balance in Ledger:
The ledger claims a balance of [tex]$378.00 after the ATM transaction, but there seems to be a discrepancy when compared to our calculated balance.
Cross-referencing the ledger:
- After ATM transactions: The correct balance should be $[/tex]258.00.
- After Grocery store transaction: The correct balance should be [tex]$225.50.
From the ledger entries:
- ATM recorded balance is $[/tex]378.00. This is significantly different from the calculated [tex]$258.00.
So, what could be the reason for this incorrect balance?
Given the steps above and the amount debited/credited in each case, one likely reason for the incorrect balance is:
"Adrienne forgot to include the $[/tex]2.00 ATM transaction fee."
The balance after the ATM withdrawal is reported as [tex]$320.00 - $[/tex]60.00 = [tex]$260.00, but without the $[/tex]2.00 fee inclusion, this shifts to the ledgers record miscalculating onward from [tex]$378.00. Thus, Adrienne's failure to deduct the $[/tex]2.00 fee initially is the most plausible error leading to the incorrect final balance.
