SOLUTION: Patty Wack had $900. She invested part of it at 12% and the rest at 9%. If her total annual return was $96, how much did she invest at each rate? -----at

Algebra ->  Finance -> SOLUTION: Patty Wack had $900. She invested part of it at 12% and the rest at 9%. If her total annual return was $96, how much did she invest at each rate? -----at       Log On


   



Question 128855: Patty Wack had $900. She invested part of it at 12% and the rest at 9%. If her total annual return was $96, how much did she invest at each rate?
-----at 12% -----at 9%

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
If she invested x dollars at 12%, then she invested 900 - x dollars at 9%, so:

.12x+%2B+.09%28900+-x%29=96

.12x+%2B+81+-+.09x+=+96

.03x=15

x=500

So she invested $500 at 12% and the rest, $400 at 9%.

Check answer:
500%2A.12=60
400%2A.09=36

And 60%2B36=96