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Lyonell has kept track of his income and expenses for the week in the spreadsheet below. How much did Lyonell spend on theater tickets?

\begin{tabular}{|l|l|l|l|}
\hline
& \multicolumn{1}{|c|}{A} & B & \multicolumn{1}{c|}{C} \\
\hline
1 & Transaction & Amount & Total \\
\hline
2 & Beginning balance & & [tex]$\$[/tex] 430.57$ \\
\hline
3 & Groceries & [tex]$-\$[/tex] 57.19$ & \\
\hline
4 & Rebate check & [tex]$\$[/tex] 15.00$ & \\
\hline
5 & Gas & [tex]$-\$[/tex] 22.30$ & \\
\hline
6 & Theater tickets & & \\
\hline
7 & Paycheck & [tex]$\$[/tex] 377.82$ & \\
\hline
8 & Ending balance & & [tex]$\$[/tex] 695.15$ \\
\hline
\end{tabular}

a. [tex]$\$[/tex] 48.75$
b. [tex]$\$[/tex] 117.24$
c. [tex]$\$[/tex] 252.84$
d. [tex]$\$[/tex] 381.82$



Answer :

GinnyAnswer
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]

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