Sofia still lives at home but helps with the rent by paying [tex]$\$[/tex]200[tex]$ per month. She has a job that pays about $[/tex]\[tex]$700$[/tex] per month after taxes. She has to pay for her own personal items such as clothing and toiletries, spending about [tex]$\$[/tex]120[tex]$ per month. Going out with friends is important to her, but she also wants to save money to buy her own car. Select the budget that would best help meet her goals.

\begin{tabular}{|c|c|c|c|c|}
\hline
Monthly Budget & Budget A & Budget B & Budget C & Budget D \\
\hline
Income & $[/tex]\[tex]$700$[/tex] & [tex]$\$[/tex]700[tex]$ & $[/tex]\[tex]$700$[/tex] & [tex]$\$[/tex]700[tex]$ \\
\hline
Rent & $[/tex]\[tex]$200$[/tex] & [tex]$\$[/tex]200[tex]$ & $[/tex]\[tex]$200$[/tex] & [tex]$\$[/tex]200[tex]$ \\
\hline
Personal Items & $[/tex]\[tex]$120$[/tex] & [tex]$\$[/tex]120[tex]$ & $[/tex]\[tex]$120$[/tex] & [tex]$\$[/tex]120[tex]$ \\
\hline
Entertainment & $[/tex]\[tex]$100$[/tex] & [tex]$\$[/tex]300[tex]$ & $[/tex]\[tex]$200$[/tex] & [tex]$\$[/tex]325[tex]$ \\
\hline
Savings & $[/tex]\[tex]$250$[/tex] & [tex]$\$[/tex]50[tex]$ & $[/tex]\[tex]$150$[/tex] & [tex]$\$[/tex]25$ \\
\hline
\end{tabular}

a. Budget A
b. Budget B
c. Budget C
d. Budget D



Answer :

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.