To determine how much Lyonell spent on theater tickets, we need to work through his transactions step-by-step and find the missing amount.
Here are Lyonell's transactions as listed:
1. Beginning balance: \[tex]$430.57
2. Groceries expense: -\$[/tex]57.19
3. Rebate check: \[tex]$15.00 (income)
4. Gas expense: -\$[/tex]522.30
5. Paycheck: \[tex]$5377.82 (income)
6. Ending balance: \$[/tex]695.15
First, we will calculate the total known balance before including the theater tickets expense. We add up Lyonell's beginning balance, groceries expense, rebate income, gas expense, and paycheck.
[tex]\[
\begin{aligned}
\text{Known Transactions Total} = & (\$430.57) + (-\$57.19) + (\$15.00) + (-\$522.30) + (\$5377.82) \\
= & \$430.57 - \$57.19 + \$15.00 - \$522.30 + \$5377.82 \\
= & \$4243.90
\end{aligned}
\][/tex]
Next, we compare the total after known transactions to the ending balance:
[tex]\[
\begin{aligned}
\text{Theater Tickets Expense} = & \text{Known Transactions Total} - \text{Ending Balance} \\
= & \$4243.90 - \$695.15 \\
= & \$4548.75 \\
\end{aligned}
\][/tex]
Thus, the amount spent on theater tickets is \$4548.75.
