Let's solve the problem step by step to determine how much Lyonell spent on theater tickets.
1. Starting with the beginning balance:
Lyonell's initial balance is \(\$430.57\).
2. Subtracting the expenses and adding the income:
We will account for each transaction and calculate the balance after each one, excluding the theater tickets for now.
- Groceries:
[tex]\[
430.57 - 57.19 = 373.38
\][/tex]
- Rebate check:
[tex]\[
373.38 + 15.00 = 388.38
\][/tex]
- Gas:
[tex]\[
388.38 - 22.30 = 366.08
\][/tex]
- Paycheck:
[tex]\[
366.08 + 377.82 = 743.90
\][/tex]
After processing these transactions, Lyonell's balance would be \(\$743.90\). This balance does not yet account for the theater tickets.
3. Finding the cost of theater tickets:
Lyonell's ending balance is \(\$695.15\). The difference between the balance after the recorded transactions and the ending balance will give us the cost of the theater tickets.
[tex]\[
743.90 - 695.15 = 48.75
\][/tex]
Therefore, Lyonell spent \(\$48.75\) on theater tickets.
By comparing this value to the given options:
a. \(\$48.75\)
b. \(\$117.24\)
c. \(\$252.84\)
d. \(\$381.82\)
The answer is:
a. [tex]\(\$48.75\)[/tex]
