Difficult interest problem

Question

A banker plans to lend part of $24,000 at a simple interest rate of 16% and the rest of the money at 19%. How much should he lend at each percent to obtain a total return of 18.5% on the total amount after a year?

Answer 1

x represents the amount at 16%

24000 - x represents the amount at 19%

 

0.16x + 0.19(24000 - x) = 0.185(24000)

 

Can you solve for x and answer?