Since there are no special paameters mentioned to solve the problem, algebra will be employed.
What we have so far: Total debit = $<span>12,200 Total credit = $</span><span>11,500 Total transactions = </span>Total credit - Total debit<span> Final balance = $</span><span>5,000
To solve: Let us use the working equation: Initial Balance = Final Balance + |Total Transactions| Initial Balance = </span>$5,000 + |$11,500 - $12,200| Initial Balance = $5,000 + |-$700| <--- remember that -$700 is an absolute value which makes it positive. Initial Balance = $5,700 <--- What we are looking for.
Checking: Early May: $5,700 Around May : $5,700 - Total Debit (Assumption) Around May : $5,700 - $12,200 = -$6,500 (Assumption) Around May: -$6,500 + Total Credit (Assumption) Around May: -$6,500 + $11,500 = $5,000 (Assumption) 31st of May: $5,000 <--- Proven
∴The answer is: $5,700, the initial balance at the beginning of May.