Analyze the following budget, with an income of [tex]$\$[/tex]750[tex]$, to determine how much can be spent on food for the month.

\begin{tabular}{|c|c|}
\hline
Category & Budgeted Amount \\
\hline
Personal Items & $[/tex]\[tex]$20$[/tex] \\
\hline
Cell Phone & [tex]$\$[/tex]75[tex]$ \\
\hline
Entertainment & $[/tex]\[tex]$85$[/tex] \\
\hline
Car Expenses - Gas, Insurance & [tex]$\$[/tex]260[tex]$ \\
\hline
College Savings & $[/tex]\[tex]$250$[/tex] \\
\hline
\end{tabular}

A. No more than [tex]$\$[/tex]70[tex]$ can be spent on food.
B. No more than $[/tex]\[tex]$75$[/tex] can be spent on food.
C. No more than [tex]$\$[/tex]80[tex]$ can be spent on food.
D. No more than $[/tex]\[tex]$60$[/tex] can be spent on food.

Please select the best answer from the choices provided.



Answer :

To determine how much can be spent on food for the month, we need to analyze the given budget details:

First, let's list the amounts for each expense category:
- Personal Items: \[tex]$20 - Cell Phone: \$[/tex]75
- Entertainment: \[tex]$85 - Car Expenses (Gas, Insurance): \$[/tex]260
- College Savings: \[tex]$250 Next, we calculate the total amount of these expenses: \[ \text{Total Expenses} = \$[/tex]20 (\text{Personal Items}) + \[tex]$75 (\text{Cell Phone}) + \$[/tex]85 (\text{Entertainment}) + \[tex]$260 (\text{Car Expenses}) + \$[/tex]250 (\text{College Savings})
\]

Adding these values together:

[tex]\[ \text{Total Expenses} = 20 + 75 + 85 + 260 + 250 = \$690 \][/tex]

Now, given that the monthly income is \[tex]$750, we need to determine the remaining amount that can be allocated to food. \[ \text{Remaining Budget for Food} = \text{Income} - \text{Total Expenses} \] So, \[ \text{Remaining Budget for Food} = \$[/tex]750 - \[tex]$690 = \$[/tex]60
\]

Given the choices for how much can be spent on food (no more than \[tex]$70, no more than \$[/tex]75, no more than \[tex]$80, and no more than \$[/tex]60), we need to select the best answer, ensuring that the amount spent on food does not exceed the remaining budget of \[tex]$60. Hence, the best answer is: No more than \$[/tex]60 can be spent on food.

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