document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1118391>Question 1118391</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Part of $6,000 is invested at 12%, another part at 14%, and the remainder at 15% yearly interest. The total yearly income from the three investments is $840. The sum of the amounts invested at 12% and 14% equals the amount invested at 15%. How much is invested at each rate?<BR>\n" );
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document.write( "\"The sum of the amounts invested at 12% and 14% equals the amount invested at 15%.\"<br><BR>\n" );
document.write( "That means half of the $6000 was invested at 15%<BR>\n" );
document.write( "15% of $3000 is $450, so the amount of interest from the other two investments is $840-$450 = $390.<br><BR>\n" );
document.write( "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><BR>\n" );
document.write( "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><BR>\n" );
document.write( "Answer: $3000 at 15%; $1500 at 14%; $1500 at 12%.<br><BR>\n" );
document.write( "CHECK:  .15(3000)+.14(1500)+.12(1500) = 450+210+180 = 840 </SPAN>\n" );
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