Question 1164802
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Here is a quick and easy path to the solution, if a solution using formal algebra is not required.<br>
$825 interest on $7500 is an interest rate of 825/7500 = 0.11 = 11%.<br>
11% is 2/5 of the way from 9% to 14%.<br>
Therefore, 2/5 of the money was loaned at the higher rate.<br>
ANSWER: 2/5 of $7500, or $3000, at 14%; the other $4500 at 9%.<br>
CHECK: .14(3000)+.09(4500) = 420+405 = 825<br>