SOLUTION: A person invested $10,000.00. The greater part is invested at 6% and the remainder at 5%. The annual income from the greater part is $160.00 more than the annual income from the sm

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Question 126449: A person invested $10,000.00. The greater part is invested at 6% and the remainder at 5%. The annual income from the greater part is $160.00 more than the annual income from the smaller part. What is the smaller part of the investment?
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
.06x=.05(10,000-x)+160
.06x=500-.05x+160
.06x+.05x=660
.11x=660
x=660/.11
x=6000 the amount invested @ 6%
10,000-6,000=4,000 invested @ 5%
PROOF:
.06*6000=.05(4,000)+160
360=200+160
360=360