Eliza Savage received a statement from her bank showing a checking account balance of $324.18 as of January 18. Her own checkbook shows a balance of $487.38 as of January 29. The bank returned all of the cancelled checks but three. The amounts of these three checks are $15.00, $77.49, and $124.28. How much did Eliza deposit in her account between January 18 and January 29?

Question 4 options:

A)

$54.44

B)

$197.24

C)

$201.12

D)

$379.97

1 answer

To determine how much Eliza deposited in her account between January 18 and January 29, we need to calculate her account balance as of January 29, subtract the checks she wrote, and figure out how much was deposited during that period.

  1. Bank Balance on January 18: $324.18

  2. Checkbook Balance on January 29: $487.38

  3. Checks Written (which have not cleared):

    • Check 1: $15.00
    • Check 2: $77.49
    • Check 3: $124.28
  4. Total of the three outstanding checks:

    • Total checks written = $15.00 + $77.49 + $124.28 = $216.77
  5. Calculating the balance as of January 29 including checks that have not cleared:

    • Balance on January 29 = Checkbook balance + Outstanding checks
    • Effective balance = $487.38 - $216.77 = $270.61
  6. Now we need to find out how much was deposited:

    • Amount deposited = Effective balance as of January 29 - Bank balance on January 18
    • Amount deposited = $270.61 - $324.18 = -$53.57

Since a negative amount doesn't logically correspond to a deposit, this indicates a mistake in our calculations. The correct approach involves interpreting the deposits directly:

However, let’s calculate the deposits explicitly between the dates.

If the net amount has increased from the original bank balance by effective deposits: Deposit = Final checkbook balance (1/29) - Initial bank balance (1/18) + Total outstanding checks.

Effective deposit = $487.38 - $324.18 + $216.77 = $487.38 - $324.18 + $216.77 = $379.97

Thus, the total deposits made between January 18 and January 29 is $379.97.

Therefore, the correct answer is:

D) $379.97