A student has two loans totaled $45,000. The interest of one loan is 5.1% and the interest of the other loan is 3.8%. After one year, the student has paid $1953.10 in interest. What was the amount of each loan?
Show your work not just the final answer.

Question

A student has two loans totaled $45,000. The interest of one loan is 5.1% and the interest of the other loan is 3.8%.   After one year, the student has paid $1953.10 in interest. What was the amount of each loan?  
Show your work not just the final answer.

anonymous · Answer

Call the 5.1% loan amount x.  Write an expression for the 3.8% loan amount in terms of x.  Using those two expressions, write an expression for the total interest paid (it will be in terms of x).  Set that expression equal to the total interest paid.  Solve for x.

anonymous · Answer

in other words solve 
$$.051x+.038(4500-x)=1935.10$$