alana is starting classes at hempstead univer...

alana is starting classes at hempstead university this fall. tuition at hempstead is $16,000 this year. alana has a grant that will pay $3,000. she has saved $2,500 and plans to earn 20% of her remaining tuition at her work - study job. she will need student loans for the rest. how much money will alana take out in student loans this year?

Answer

# Explanation: ## Step1: Calculate remaining tuition after grant and savings First, find the amount paid by grant and savings. The total of grant and savings is $3000 + 2500=\$5500$. The remaining tuition is $16000 - 5500=\$10500$. ## Step2: Calculate amount paid by work - study She will earn 20% of the remaining tuition at her work - study job. So the amount paid by work - study is $0.2\times10500 = \$2100$. ## Step3: Calculate amount for student loans The amount for student loans is the remaining amount after work - study payment. So it is $10500-2100=\$8400$. # Answer: $8400$