Final answer:
Mariana will need to borrow $47,000 in student loans to attend Texas A&M for 4 years.
Step-by-step explanation:
To calculate how much Mariana will need to borrow in student loans to attend Texas A&M for 4 years, we need to calculate the total cost of attending for 4 years and subtract Mariana's savings and the grants and scholarships she has received.
Mariana plans to attend Texas A&M for 4 years, so the total cost will be 4 times the cost of one year, which is $28,000. Therefore, the total cost for 4 years will be $28,000 × 4 = $112,000.
Next, we need to subtract Mariana's savings, the one-time grant, the annual academic scholarship, and the earnings from the work study program. Mariana has $7,000 in savings, received a one-time grant of $1,000, an annual academic scholarship for $6,000, and will earn $10,000 annually from the work study program. Over 4 years, Mariana's savings, grant, scholarship, and earnings will total $7,000 + $1,000 + ($6,000 × 4) + ($10,000 × 4) = $65,000
Finally, we can calculate the amount Mariana will need to borrow in student loans by subtracting the total amount she has from the total cost of attending: $112,000 - $65,000 = $47,000