SOLUTION: Emma Knutt has $10,000 to invest. She would like to earn $980 per year in interest. How much should she invest at 9% if the rest is to be invested at 11%?

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Question 74277: Emma Knutt has $10,000 to invest. She would like to earn $980 per year in interest. How much should she invest at 9% if the rest is to be invested at 11%?
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
$x is 09% or 0.09
$10,000 - x in 11% or 0.11
0.09x + 0.11(10,000 - x) = 980
0.09x + 1,100 - 0.11x = 980
-0.02x = -120
x = 6,000
$6,000 in 9% and $4,000 in 11%