Question 1161616
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Without formal algebra....<br>
(1) All $100,000 at 8.6% would yield $8600 interest; all at 9.2% would yield $9200 interest.
(2) The actual interest of $8960 is 3/5 of the way from $8600 to $9200.  ($8600 to $9200 is a difference of $600; $8600 to $8960 is a difference of $360; 360/600 = 3/5.)
(3) That means 3/5 of the total was invested at the higher rate.<br>
ANSWER: 3/5 of $100,000, or $60,000, at 9.2%; the other $40,000 at 8.6%.<br>
CHECK:
.086(40,000)+.092(60,000) = 3440+5520 = 8960<br>