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Jason keeps a record of his transactions in a notebook. Looking over his records for the past two weeks, Jason finds that his bank statement does not match his notebook, and he actually has less money than he thought he did. These are the relevant entries in Jason's notebook:

\begin{tabular}{|c|c|c|}
\hline
Transaction & Debit [tex]$( \$[/tex] )[tex]$ & Credit $[/tex]( \[tex]$ )$[/tex] \\
\hline
\end{tabular}


Sagot :

Sure, let's analyze Jason's transactions in detail and figure out where the discrepancy comes from. To do so, we'll follow these steps:

1. List of Transactions and Classifications:
- Transaction A: Debit [tex]$50, Credit $[/tex]0
- Transaction B: Debit [tex]$30, Credit $[/tex]0
- Transaction C: Debit [tex]$0, Credit $[/tex]150
- Transaction D: Debit [tex]$0, Credit $[/tex]200
- Transaction E: Debit [tex]$80, Credit $[/tex]0
- Transaction F: Debit [tex]$20, Credit $[/tex]0

2. Calculate Total Debit:
- Sum of all Debits:
[tex]\[ 50 + 30 + 80 + 20 = 180 \; (\$) \][/tex]

3. Calculate Total Credit:
- Sum of all Credits:
[tex]\[ 150 + 200 = 350 \; (\$) \][/tex]

4. Calculate Balance:
- Balance is the total Credits minus the total Debits:
[tex]\[ 350 - 180 = 170 \; (\$) \][/tex]

5. Determine the Discrepancy:
- Assuming Jason’s expected balance is [tex]$500, we need to find out the discrepancy: \[ \text{Discrepancy} = \text{Expected Balance} - \text{Actual Balance} \] \[ \text{Discrepancy} = 500 - 170 = 330 \; (\$[/tex])
\]

By carefully reviewing the records and our calculations:

- Total Debit: [tex]\( 180 \; (\$) \)[/tex]
- Total Credit: [tex]\( 350 \; (\$) \)[/tex]
- Actual Balance: [tex]\( 170 \; (\$) \)[/tex]
- Discrepancy: [tex]\( 330 \; (\$) \)[/tex]

Thus, the discrepancy arises from the difference between Jason’s expected balance and his actual balance after considering all transactions.