SOLUTION: You invested $5000 of your savings, part at 11% annual interest and the rest at 13% annual interest. if you received $610 interest at the end of the first year, how much did you

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Question 998442: You invested $5000 of your savings, part at 11% annual interest and the rest at 13% annual interest. if you received $610 interest at the end of the first year, how much did you invest at each rate?

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call the amount invested at 11%, x. Thus the amount invested at 13% is 5000-x. The setup is like this:
.11x + .13(5000-x) = 610
.11x + 650 - .13x = 610
-.02x = -40
x = $2000 invested at 11%
and $3000 invested at 13%