SOLUTION: Emma had $1,000 to invest last year. She invested some in a guaranteed 9% interest account. She put the rest in a riskier account and ended up losing 5% on the investment. If by th

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Emma had $1,000 to invest last year. She invested some in a guaranteed 9% interest account. She put the rest in a riskier account and ended up losing 5% on the investment. If by th      Log On


   

Question 316956: Emma had $1,000 to invest last year. She invested some in a guaranteed 9% interest account. She put the rest in a riskier account and ended up losing 5% on the investment. If by the end if the year she had made $9.50 as a result of both investments, how much did she invest in each account?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
.09x-.05(1,000-x)=9.50
.09x-50+.05x=9.50
.14x=9.50+50
.14x=59.50
x=59.50/.14
x=$425 amount invested @ 9%
1,000-425=575 amount invested @ 5%.
Proof:
.09*425-.05*575=9.50
38.25-28.75=9.50
9.50=9.50