SOLUTION: Sarah invested a quarter of her 100,000 at 12% and the rest at an unknown rate. If her total income is 9% of what she invested, at what rate did she invest the remaining money?

Question 963986: Sarah invested a quarter of her 100,000 at 12% and the rest at an unknown rate. If her total income is 9% of what she invested, at what rate did she invest the remaining money?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Sarah invested a quarter of her 100,000 at 12% and the rest at an unknown rate. If her total income is 9% of what she invested, at what rate did she invest the remaining money?
***
quarter of her 100,000=25000
remaining 3 quarters=75000
let x=rate she invested the remaining money
..
(12%*25000+x*75000)/100000=.09
3000+75000x=9000
75000x=6000
x=6/75=.08 or 8%
at what rate did she invest the remaining money? 8%
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