To determine how much can be spent on food for the month, let's analyze the given expenses and income step-by-step.
1. Given Data:
- Income: \[tex]$750
- Personal/Home expenses: \$[/tex]520
- Cell Phone: \[tex]$75
- Entertainment/Informers: \$[/tex]50
- Car Expenses (Gas, Insurance): \[tex]$260
- College Savings: \$[/tex]250
2. Calculate the total other expenses:
We need to add up all the given expenses to find the total amount spent on these categories:
[tex]\[
\text{Total Other Expenses} = \text{Personal/Home} + \text{Cell Phone} + \text{Entertainment/Informers} + \text{Car Expenses} + \text{College Savings}
\][/tex]
Plugging in the given numbers:
[tex]\[
\text{Total Other Expenses} = 520 + 75 + 50 + 260 + 250 = 1155
\][/tex]
3. Subtract the total other expenses from the income to determine the available amount for food:
[tex]\[
\text{Remaining Income} = \text{Income} - \text{Total Other Expenses}
\][/tex]
Substituting the values:
[tex]\[
\text{Remaining Income} = 750 - 1155 = -405
\][/tex]
4. Analyze the remaining income:
The remaining income is -405. This indicates that after accounting for all other expenses, there is a deficit of \[tex]$405, meaning the income is not sufficient to cover all listed expenses, let alone leaving an amount for food.
5. Evaluate the provided choices:
Now, we need to select the correct option based on our calculations. The choices are:
- No more than \$[/tex]70 can be spent on food.
- No more than \[tex]$75 can be spent on food.
- No more than \$[/tex]380 can be spent on food.
- No more than \[tex]$500 can be spent on food.
Since the remaining income is -405, it is clear that the budget does not accommodate any amount for food expenses. Therefore, none of the choices (\$[/tex]70, \[tex]$75, \$[/tex]380, \$500) can be correct as they all assume some positive remaining amount for food.
Hence, the correct conclusion is that there is a shortfall in the budget, and no additional amount can be allocated for food.
