Completing a Check Register

Look at Ivan's check register. Ivan spent [tex]\$158.29[/tex] on groceries. He then transferred [tex]\$250[/tex] to his savings account.

[tex]\[
\begin{tabular}{|c|c|c|c|c|c|c|}
\hline
Check & Date & Transaction & \begin{tabular}{c}
(-) \\
Debit
\end{tabular} & $\checkmark$ & (+) Deposit & Balance \\
\hline
& & Open Account & & & & 500.00 \\
\hline
001 & 2/7 & 123 Flowers & 32.75 & & & 467.25 \\
\hline
& 2/13 & Paycheck & & & 318.54 & 785.79 \\
\hline
002 & 2/18 & Groceries & \square & & & \square \\
\hline
& 2/19 & Transfer & \square & & \square & \square \\
\hline
\end{tabular}
\][/tex]

The letter [tex]\square[/tex] represents where the amount of [tex]\$158.29[/tex] should be written.

The letter [tex]\square[/tex] represents where the amount of [tex]\$250[/tex] should be written.



Answer :

Sure, let's complete the given check register step by step.

We start with the following known information from Ivan's check register:

1. Opened Account: Balance is \[tex]$500.00. 2. Check 001 on 2/7: Spent \$[/tex]32.75 on 123 Flowers, updating the balance to \[tex]$467.25. 3. On 2/13: Received a paycheck deposit of \$[/tex]318.54, updating the balance to \[tex]$785.79. Next, we move to complete the missing information based on Ivan's transactions for Groceries and Transfer: 1. Groceries on 2/18: \$[/tex]158.29.

2. Transfer on 2/19: \[tex]$250.00. Let’s fill in the blanks one by one: - For Groceries on 2/18: - \( A \) represents the grocery debit: \$[/tex]158.29.
- Subtract this amount from the previous balance (\[tex]$785.79): \[ 785.79 - 158.29 = 627.50 \] Thus, \( C \) is the updated balance after groceries: \$[/tex]627.50.

- For Transfer on 2/19:
- [tex]\( D \)[/tex] represents the transfer debit: \[tex]$250.00. - No deposit was made here, so \( E \) is: \$[/tex]0.
- Subtract this amount from the balance after groceries (\[tex]$627.50): \[ 627.50 - 250.00 = 377.50 \] Thus, \( F \) is the updated balance after the transfer: \$[/tex]377.50.

The completed check register will look like this:
[tex]\[ \text{Check} \vert \text{Date} \vert \text{Transaction} \vert \begin{array}{c} (-) \\ \text{Debit} \end{array} \vert \checkmark \vert (+) \text{Deposit} \vert \text{Balance} \][/tex]
[tex]\[ \begin{array}{|c|c|c|c|c|c|c|} \hline & & \text{Open Account} & & & & 500.00 \\ \hline 001 & 2/7 & \text{123 Flowers} & 32.75 & & & 467.25 \\ \hline & 2/13 & \text{Paycheck} & & & 318.54 & 785.79 \\ \hline 002 & 2/18 & \text{Groceries} & 158.29 & & & 627.50 \\ \hline & 2/19 & \text{Transfer} & 250.00 & & 0 & 377.50 \\ \hline \end{array} \][/tex]

Thus, the values for [tex]\( A \)[/tex], [tex]\( B \)[/tex], [tex]\( C \)[/tex], [tex]\( D \)[/tex], [tex]\( E \)[/tex], and [tex]\( F \)[/tex] in the check register are filled as:
[tex]\[ A = 158.29, B = 0, C = 627.50, D = 250.00, E = 0, F = 377.50 \][/tex]

This is a detailed, step-by-step solution to completing the check register.