SOLUTION: Investing her bonus. Donna invested her $33,000 bonus and received a total of $970 in interest after one year. If part of the money returned 4% and the remainder 2.25% then how m

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Investing her bonus. Donna invested her $33,000 bonus and received a total of $970 in interest after one year. If part of the money returned 4% and the remainder 2.25% then how m      Log On


   

Question 198555: Investing her bonus. Donna invested her $33,000 bonus and received a total of $970 in interest after one year. If part of the money returned 4% and the remainder 2.25% then how much did she invest at each rate?
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
.04x+.0225(33,000-x)=970
.04x+742.5-.0225x=970
.0175x=970-742.5
.0175x=227.5
x=227.5/.0175
x=13,000 amount invested @ 4%.
33,000-13,000=20,000 amount invested @ 2.25%.
Proof:
.04*13,000+.0225*2450=970
520+450=970
970=970