Question 1190296
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A quick, informal solution method, if formal algebra is not required....<br>
$56000 all invested at 5% would yield $2800 interest; all invested at 6% would yield $3360 interest.  The ratio in which the total was split between the two investments is determined by where the actual interest of $3200 lies between $2800 and $3360.<br>
(1) Look at the three interest amounts 2800, 3200, and 3360 on a number line and observe/calculate that 3200 is 400/560 = 5/7 of the way from 2800 to 3360.
(2) That means 5/7 of the total was invested at the higher rate.<br>
ANSWER: 5/7 of the total $56,000, or $40,000, was invested at 6%; the other $16,000 at 5%.<br>
CHECK: .06(40,000)+.05(16,000) = 2400+800 = 3200<br>