Terry had a balance of $403 in her checking account before she deposited a check for xxx dollars. Then she wrote checks for $56, $23, and $25. If there were no other transactions and her account balance after all of these transactions was $424, what is the value of x?
The value of xxx is 125.
To determine the value of xxx, we can set up an equation based on the transactions. Starting with $403, adding the deposit (xxx), and then subtracting the checks ($56 + $23 + $25) should equal the final balance of $424.
If xxx were 21, the calculation would be: $403 + 21 - (56 + 23 + 25) = $403 + 21 - 104 = $320. This does not equal the final balance of $424, thus making this choice incorrect.
If xxx were 104, the calculation would be: $403 + 104 - (56 + 23 + 25) = $403 + 104 - 104 = $403. This also does not equal the final balance of $424, therefore this choice is incorrect.
If xxx is 125, we can calculate: $403 + 125 - (56 + 23 + 25) = $403 + 125 - 104 = $424. This is the correct balance that matches the final account total, confirming this choice as accurate.
If xxx were 146, the calculation would be: $403 + 146 - (56 + 23 + 25) = $403 + 146 - 104 = $445. This results in a balance that exceeds $424, making this choice incorrect.
To find the missing deposit amount xxx, we confirmed that it must be 125 to reconcile Terry's account after all transactions were completed. The calculations for each incorrect choice demonstrated that only 125 produced the correct final balance of $424, illustrating the importance of accurate arithmetic in financial transactions.
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