To find out how much Sophie needs to pay each year from her own savings and from loans, we can break down the problem into several steps:
1. Calculate the Total Cost of College per Year:
We have two main components of the cost:
- Tuition & Fees: \[tex]$11,750
- Room & Board: \$[/tex]11,500
Summing these components gives us the total cost:
[tex]\[
\text{Total Cost} = \$11,750 + \$11,500 = \$23,250
\][/tex]
2. Calculate the Total Financial Aid per Year:
We have three main components of the financial aid:
- Grants & Scholarship: \[tex]$9,000
- Work-Study: \$[/tex]7,000
- Parent Contribution: \[tex]$3,500
Summing these components gives us the total financial aid:
\[
\text{Total Financial Aid} = \$[/tex]9,000 + \[tex]$7,000 + \$[/tex]3,500 = \[tex]$19,500
\]
3. Determine the Amount Sophie Needs to Pay:
To find this amount, we subtract the total financial aid from the total cost:
\[
\text{Amount Sophie Needs to Pay} = \text{Total Cost} - \text{Total Financial Aid}
\]
\[
\text{Amount Sophie Needs to Pay} = \$[/tex]23,250 - \[tex]$19,500 = \$[/tex]3,750
\]
Therefore, Sophie will need to pay \[tex]$3,750 each year from her own savings and from loans. The correct answer is:
\[
\$[/tex]3,750
\]
