document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=173699>Question 173699</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0974903620/algebrahomeworkh>Algebra 1: A Teaching Textbook</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Harold invested $30,000 in various stocks and bonds. He earned 6% on his bonds and 12% on his stocks. If Harold's total profit on both types of investments was $2,460, how much of the $30,000 did he invest in bonds?\r<BR>\n" );
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document.write( "At first I thought this had to have two variables, but I couldn't work it out.  I tried adding .06(30,000)x + .12(30,000)2x(because .12 is twice .06) =2460  But the interest rate and the amount invested don't seem related!  Please help!<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #128563 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=128563\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Very good you were very close<BR>\n" );
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document.write( "let the amounts invested in 6% and 12% be x and y respectively<BR>\n" );
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document.write( "this is where you had trouble. We know that x+y=30000...so x=30000-y...lets call that eq 1<BR>\n" );
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document.write( ".06x+.12y=2460.....eq 2<BR>\n" );
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document.write( "now plug in x's value of 30000-y into eq 2<BR>\n" );
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document.write( ".06(30000-y)+.12y=2460<BR>\n" );
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document.write( "1800-.06y+.12y=2460<BR>\n" );
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document.write( ".06y=660<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=11000%29 ALIGN=MIDDLE  ALT=\"highlight%28y=11000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >invested at 12 %<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=30000-11000=19000%29 ALIGN=MIDDLE  ALT=\"highlight%28x=30000-11000=19000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >invested at 6% </SPAN>\n" );
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