Guillermo forgot to enter the starting balance, 𝑥, on the checkbook page shown. Given that the balance of his checking account was $495.21 after the four transactions shown, what was the value of 𝑥?

Rationale

The value of 𝑥 is $346.54.

To determine the starting balance, 𝑥, we need to account for the total of the four transactions that led to a final balance of $495.21. By reversing the transactions, we can isolate 𝑥 and find its value.

A ($290.64) YOUR ANSWER

If the starting balance were $290.64, the transactions would result in a final balance much lower than $495.21. Specifically, the calculations would show that the total deductions would exceed the final amount, indicating this choice is insufficient.

B ($299.56) YOUR ANSWER

Choosing a starting balance of $299.56 would also yield a final balance that does not match $495.21 after accounting for the transactions. The calculations demonstrate that this amount does not appropriately reflect the required starting balance needed to reach the final total.

C ($346.54) CORRECT

This option correctly calculates the starting balance when the transactions are accounted for. Reversing the transactions starting from $495.21 leads back to $346.54, confirming this as the accurate initial amount before any deductions were made.

D ($643.88) YOUR ANSWER

If $643.88 were the starting balance, the resulting balance after the transactions would far exceed $495.21. This discrepancy shows that such a balance would not logically lead to the final amount, disqualifying this choice as a valid option.

Conclusion

To ascertain the initial balance in Guillermo's checkbook, we need to backtrack from the final balance of $495.21 through the provided transactions. The accurate value of 𝑥 is determined to be $346.54, as this starting balance reconciles perfectly with the final account total after all transactions have been considered. Other choices either do not yield the correct final balance or diverge significantly from the expected outcome.

Guillermo forgot to enter the starting balance, 𝑥, on the checkbook page shown. Given that the balance of his checking account was $495.21 after the four transactions shown, what was the value of 𝑥?

The value of 𝑥 is $346.54.

Related Questions

Related Quizzes

How familiar were you with this question?

Report an Issue

Rate this Practice Test