Question 1118391
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"The sum of the amounts invested at 12% and 14% equals the amount invested at 15%."<br>
That means half of the $6000 was invested at 15%
15% of $3000 is $450, so the amount of interest from the other two investments is $840-$450 = $390.<br>
If all of the remaining $3000 were invested at 12%, the interest would be $360; if all were invested at 14%, the interest would be $420.<br>
The actual remaining amount of interest, $390, is exactly halfway between $360 and $420; that means the amounts invested at 12% and 14% are equal -- $1500 in each.<br>
Answer: $3000 at 15%; $1500 at 14%; $1500 at 12%.<br>
CHECK:  .15(3000)+.14(1500)+.12(1500) = 450+210+180 = 840