SOLUTION: Donna invested her $33,000 bonus and received a total of $970.00 in interest after one year. If part of the money returned 4% and the remainder 2.25% then how much did she invest

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Donna invested her $33,000 bonus and received a total of $970.00 in interest after one year. If part of the money returned 4% and the remainder 2.25% then how much did she invest       Log On


   

Question 196603: Donna invested her $33,000 bonus and received a total of $970.00 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 checkley77(12844) 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 is the amount invested @ 4%
33,000-13,000=20,000 is the amount invested @ 2.25%.
Proof:
.04*13,000+.0225*20,000=970
520+450=970
970=970