Question 192972
Create equations from the given info.

Let,
A = loan amount to 1st student, 
B = loan amount to 2nd student,

X+Y = 9000  ------------- EQ1

Also, we know the annual interest rates and that the total interest collected in one year is 470
A*4% + B*6% = 470
0.04A + 0.06B = 470
4A + 6B = 47000
2A + 3B = 23500 --------- EQ2

Solve EQ1 and EQ2 for A and B
Answer: A=3500, B=5500