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Jorge is attending college next year. He just received information on the college costs and the financial aid package the college is offering. Jorge knows his parents can contribute [tex]$\$[/tex]4,500[tex]$ each year.

\begin{tabular}{|c|c|}
\hline Jorge's College Costs \& Financial Aid Package per Year \\
\hline Costs & Financial Aid Package \\
\hline Tuition \& Fees & Grants \& Scholarship \\
\hline $[/tex]\[tex]$26,000$[/tex] & [tex]$\$[/tex]18,500[tex]$ \\
\hline Room \& Board & Work-Study \\
\hline $[/tex]\[tex]$12,500$[/tex] & [tex]$\$[/tex]8,500[tex]$ \\
\hline
\end{tabular}

How much will Jorge need to pay each year from his own savings and from loans?

A. $[/tex]\[tex]$3,000$[/tex]

B. [tex]$\$[/tex]7,000[tex]$

C. $[/tex]\[tex]$7,500$[/tex]

D. [tex]$\$[/tex]11,500$


Sagot :

To determine how much Jorge will need to pay each year from his own savings and from loans, we need to follow these steps:

1. Calculate the total costs per year:
- Tuition & Fees: \[tex]$26,000 - Room & Board: \$[/tex]12,500
- Total Costs:
[tex]\[ 26,000 + 12,500 = 38,500\ \text{dollars} \][/tex]

2. Calculate the total financial aid per year:
- Grants & Scholarships: \[tex]$18,500 - Work-Study: \$[/tex]8,500
[tex]\[ 18,500 + 8,500 = 27,000\ \text{dollars} \][/tex]

3. Calculate the amount Jorge's parents will contribute per year:
- Parents' Contribution: \[tex]$4,500 4. Calculate the total amount covered by financial aid and parents' contribution: \[ \text{Total Financial Aid} + \text{Parents' Contribution} = 27,000 + 4,500 = 31,500\ \text{dollars} \] 5. Calculate the amount Jorge needs to cover from his own savings and from loans: - Total Costs: \$[/tex]38,500
- Total Amount Covered: \[tex]$31,500 - Amount to Cover: \[ 38,500 - 31,500 = 7,000\ \text{dollars} \] Therefore, Jorge will need to pay \$[/tex]7,000 each year from his own savings and from loans.

The correct answer is:
[tex]\[ \boxed{7,000\ \text{dollars}} \][/tex]