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Look at the table below showing an example of a checkbook ledger.

\begin{tabular}{|l|l|l|l|l|l|}
\hline \begin{tabular}{l}
Check \\
Number
\end{tabular} & Date & Description & \begin{tabular}{l}
Amount \\
Debited
\end{tabular} & \begin{tabular}{l}
Amount \\
Credited
\end{tabular} & Balance \\
\hline & [tex]$9 / 15$[/tex] & Pharmacy & [tex]$\$[/tex] 15.20[tex]$ & & $[/tex]\[tex]$ 219.80$[/tex] \\
\hline & [tex]$9 / 16$[/tex] & Paycheck & & [tex]$\$[/tex] 1,015.50[tex]$ & \\
\hline 156 & $[/tex]9 / 18[tex]$ & Rent & $[/tex]\[tex]$ 425.00$[/tex] & & \\
\hline & [tex]$9 / 18$[/tex] & Dinner & [tex]$\$[/tex] 22.30[tex]$ & & \\
\hline & $[/tex]9 / 18[tex]$ & Movie tickets & $[/tex]\[tex]$ 26.75$[/tex] & & \\
\hline
\end{tabular}

According to the table, what is Omar's bank balance?

A. [tex]$\$[/tex] 761.25[tex]$

B. $[/tex]\[tex]$ 810.30$[/tex]

C. [tex]$\$[/tex] 814.75[tex]$

D. $[/tex]\[tex]$ 1,186.25$[/tex]


Sagot :

Let's walk through the transactions step by step to determine Omar's bank balance.

1. Initial Balance: Omar starts with an initial balance of \[tex]$219.80. 2. Pharmacy Debit (on 9/15): - Amount debited: \$[/tex]15.20.
- New balance: \[tex]$219.80 - \$[/tex]15.20 = \[tex]$204.60. 3. Paycheck Credit (on 9/16): - Amount credited: \$[/tex]1,015.50.
- New balance: \[tex]$204.60 + \$[/tex]1,015.50 = \[tex]$1,220.10. 4. Rent Debit (on 9/18): - Amount debited: \$[/tex]425.00.
- New balance: \[tex]$1,220.10 - \$[/tex]425.00 = \[tex]$795.10. 5. Dinner Debit (on 9/18): - Amount debited: \$[/tex]22.30.
- New balance: \[tex]$795.10 - \$[/tex]22.30 = \[tex]$772.80. 6. Movie Tickets Debit (on 9/18): - Amount debited: \$[/tex]26.75.
- New balance: \[tex]$772.80 - \$[/tex]26.75 = \[tex]$746.05. After processing all the transactions listed in the table, Omar's final bank balance is \$[/tex]746.05. Therefore, none of the given options (\[tex]$761.25, \$[/tex]810.30, \[tex]$814.75, \$[/tex]1,186.25) match the computed final bank balance.

Thus, `\[tex]$746.05` should be the correct bank balance based on the transactions provided. Let's cross-verify each of the balances from the steps: - After the pharmacy transaction: \$[/tex]204.60
- After the paycheck: \[tex]$1,220.10 - After the rent: \$[/tex]795.10 (rounded to 795.0999999999999)
- After the dinner: \[tex]$772.80 - After the movie tickets: \$[/tex]746.05

Everything checks out, confirming that the final balance is indeed \$746.05.