document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=602605>Question 602605</A>: <I><SPAN STYLE=\"word-break: break-all;\"> We are currently working with linear functions and there is a story problem I cannot seem to understand:\r<BR>\n" );
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document.write( "A person invested $17,000 for one year, part at 10%, part at 12%, part at 15%. The total annual income from these investments was $2,110. The amount of money invested at 12% was $1,000 less than the amount invested at 10% and 15% combined. Find The amount invested at each rate.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #380342 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=380342\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A person invested $17,000 for one year, part at 10%, part at 12%, part at 15%. The total annual income from these investments was $2,110. The amount of money invested at 12% was $1,000 less than the amount invested at 10% and 15% combined. Find The amount invested at each rate. <BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "a + b + c = 17000<BR>\n" );
document.write( "0.10a + 0.12b + 0.15c = 2110<BR>\n" );
document.write( "b = (a+c-1000)<BR>\n" );
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document.write( "Rearrange and modify:<BR>\n" );
document.write( "a    +    b   +    c    =  17000<BR>\n" );
document.write( "10a  +  12b   +  15c    = 211000<BR>\n" );
document.write( "a    -    b   +    c    = 1000<BR>\n" );
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document.write( "Using any method you know, solve for a, b, c:<BR>\n" );
document.write( "a = 4000 <BR>\n" );
document.write( "b = 8000 <BR>\n" );
document.write( "c = 5000<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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