1. 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?
Answer: C
The value of x is 125.
To determine the value of x, we can set up an equation based on the transactions in Terry's checking account. Starting with her initial balance of $403, adding the deposit of x dollars, and then subtracting the total of the checks written ($56 + $23 + $25), we can solve for x given that her final balance was $424.
A) 21
If x were 21, the calculation would be as follows: $403 + 21 - (56 + 23 + 25) = $403 + 21 - 104 = $320. This does not equal the final balance of $424, making this option incorrect.
B) 104
If x were 104, the calculation would be: $403 + 104 - (56 + 23 + 25) = $403 + 104 - 104 = $403. This does not match the final balance of $424, thus this option is incorrect.
C) 125
If x is 125, we perform the calculation: $403 + 125 - (56 + 23 + 25) = $403 + 125 - 104 = $424. This equals the final balance of $424, confirming that this option is correct.
D) 146
If x were 146, the calculation would be: $403 + 146 - (56 + 23 + 25) = $403 + 146 - 104 = $445. This is greater than the final balance of $424, indicating that this option is incorrect.
Conclusion
The correct value of x is 125 because it accurately balances the initial amount, the deposit, and the total deductions from checks written to arrive at the final balance of $424. All other options fail to meet this requirement, confirming that they are not valid solutions.