Sure, let's go through Omar's checkbook ledger step by step to find his final bank balance.
1. Initial Balance on 9/15:
- The initial balance shown is [tex]\( \$219.80 \)[/tex].
2. Paycheck Credited on 9/16:
- Omar's paycheck of [tex]\( \$1,015.50 \)[/tex] is credited to his account.
- New balance after the paycheck is credited:
[tex]\[
219.80 + 1015.50 = 1235.30
\][/tex]
3. Rent Debited on 9/18:
- Rent payment of [tex]\( \$425.00 \)[/tex] is debited from Omar's account.
- New balance after rent is debited:
[tex]\[
1235.30 - 425.00 = 810.30
\][/tex]
4. Dinner Debited on 9/18:
- Dinner cost of [tex]\( \$22.30 \)[/tex] is debited from Omar's account.
- New balance after dinner is debited:
[tex]\[
810.30 - 22.30 = 788.00
\][/tex]
5. Movie Tickets Debited on 9/18:
- Movie tickets cost [tex]\( \$26.75 \)[/tex] is debited from Omar's account.
- New balance after movie tickets are debited:
[tex]\[
788.00 - 26.75 = 761.25
\][/tex]
Thus, Omar's final bank balance according to the ledger is:
[tex]\[
\boxed{761.25}
\][/tex]
The correct answer is [tex]\( \$761.25 \)[/tex].
