Question 1104748
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As the other tutor said, this is essentially a mixture problem.  You are mixing a 5% interest investment with a 6% interest investment and getting an overall interest rate of something between 5% and 6%.<br>
Like any other mixture problem involving two parts, this can be solved by the method of alligation.  The version of that method that I like to use goes like this:<br>
(1) The overall interest rate is {{{1170/20000 = .0585}}} or 5.85%.
(2) 5.85% is 85% of the way from 5% to 6%.
(3) Therefore 85% of the total $20000 was invested at the higher rate.<br>
So the amount invested at 6% is 85% of $20,000, or $17,000; the amount invested at 5% was $3000.