Let's analyze Sofia's monthly budget to determine which option best suits her goals of going out with friends and saving money for a car.
Sofia's monthly income is [tex]$700. Her fixed monthly expenses include:
- Rent: $[/tex]200
- Personal items: [tex]$120
Thus, her fixed expenses total to:
\[ 200 + 120 = 320 \]
We need to calculate the total expenses for each budget option by adding the entertainment and savings amounts to the fixed expenses. Here's a detailed breakdown for each budget option:
### Budget A:
- Entertainment: $[/tex]100
- Savings: [tex]$250
- Total Expenses:
\[ 320 + 100 + 250 = 670 \]
Remaining balance:
\[ 700 - 670 = 30 \]
### Budget B:
- Entertainment: $[/tex]300
- Savings: [tex]$50
- Total Expenses:
\[ 320 + 300 + 50 = 670 \]
Remaining balance:
\[ 700 - 670 = 30 \]
### Budget C:
- Entertainment: $[/tex]200
- Savings: [tex]$150
- Total Expenses:
\[ 320 + 200 + 150 = 670 \]
Remaining balance:
\[ 700 - 670 = 30 \]
### Budget D:
- Entertainment: $[/tex]325
- Savings: [tex]$25
- Total Expenses:
\[ 320 + 325 + 25 = 670 \]
Remaining balance:
\[ 700 - 670 = 30 \]
After calculating her fixed monthly expenses and the maximum amount she can afford for entertainment and savings, all budget options leave Sofia with a surplus of $[/tex]30.
However, let's examine the distribution of savings in each option:
- Budget A: [tex]$250 savings
- Budget B: $[/tex]50 savings
- Budget C: [tex]$150 savings
- Budget D: $[/tex]25 savings
The goal is to save money for a car while still being able to go out with friends. Budget A offers the highest savings of [tex]$250, followed by Budget C with $[/tex]150, Budget B with [tex]$50, and Budget D with $[/tex]25.
Despite entertainment being important to her, saving a significant amount should also be prioritized for her long-term goal of buying a car. With this in mind, we see that none of the budget options actually meet all constraints together as per the provided solution.
Therefore, the answer is:
Result: None. None of the budget options meet all the requirements as per the given constraints.
