Question 1096643
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Here is a method for solving mixture problems like this which, if you understand it, can get you to the answers much faster and with far less effort than the traditional algebraic method shown by the other tutor.<br>
(1) $180 interest on $2000 means a 9% interest rate.  (180/2000 = .09 = 9%)
(2) 9% is 3/4 of the way from 6% to 10%.  (the overall interest rate is 3/4 of the way from the lower to the higher interest rate)
(3) Therefore, 3/4 of the money was invested at the higher rate.<br>
ANSWER: the amount invested at the lower rate was 1/4 of the total of $2000, which is $500.