Let's solve for the balance in Britney's check register step by step, by analyzing the transactions shown in the table.
1. Initial Balance: Britney starts with an initial balance of [tex]$65.
2. Payday Deposit on December 8:
- Transaction: Deposit of $[/tex]198
- Balance after deposit: Initial balance ([tex]$65) + Deposit amount ($[/tex]198)
- Calculation: [tex]\( 65 + 198 = 263 \)[/tex]
- New Balance: [tex]$263
3. Ice Skates Purchase on December 15:
- Transaction: Withdrawal of $[/tex]124
- Balance after withdrawal: Previous balance ([tex]$263) - Withdrawal amount ($[/tex]124)
- Calculation: [tex]\( 263 - 124 = 139 \)[/tex]
- New Balance: [tex]$139
4. Party Supplies Purchase on December 31:
- Transaction: Withdrawal of $[/tex]47
- Balance after withdrawal: Previous balance ([tex]$139) - Withdrawal amount ($[/tex]47)
- Calculation: [tex]\( 139 - 47 = 92 \)[/tex]
- New Balance: [tex]$92
The missing balance after each transaction based on our step-by-step calculations is as follows:
1. After the payday deposit, the balance is $[/tex]263.
2. After the purchase of ice skates, the balance is [tex]$139.
3. After the purchase of party supplies, the balance is $[/tex]92.
Thus, if we fill in the missing balances in the check register, it would look like this:
[tex]\[
\begin{array}{|r|c|c|r|l|r|r|r|l|}
\hline \text{Check \#} & \text{Date} & \text{Transaction} & \multicolumn{2}{|c|}{\text{Withdrawal}} & \multicolumn{2}{|c|}{\text{Deposit}} & \multicolumn{2}{|c|}{\text{Balance}} \\
\hline & \text{12/8} & \text{paycheck} & & & \$198 & & \$263 & \\
\hline 214 & \text{12/15} & \text{ice skates} & \$124 & & & & \$139 & \\
\hline & \text{12/31} & \text{party supplies} & \$47 & & & & \$92 & \\
\hline
\end{array}
\][/tex]
