document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1801>Question 1801</A>: <I><SPAN STYLE=\"word-break: break-all;\"> chris has invested $2,300 in two small businesses. last year, the greeting card business made a 14% profit on her investment in the business, while the bicycle repair business showed a 6% loss.  if chris' net profit from the two businesses was $102, her investment in the greeting card business was $____? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #620 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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/cgi-bin/show-face.mpl?user=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=620\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> first, some definitions...\r<BR>\n" );
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document.write( "Let g be the amount invested in the greeting card business<BR>\n" );
document.write( "Let b be the amount invested in the bicycle repair business.\r<BR>\n" );
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document.write( "So, what do we know?\r<BR>\n" );
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document.write( "Well, first the amounts invested added up to $2300, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%2Bb=2300 ALIGN=MIDDLE  ALT=\"g%2Bb=2300\"   DISABLED_style= \"max-width:90%; height:auto;\" > in one equation.\r<BR>\n" );
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document.write( "What else? \r<BR>\n" );
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document.write( "g made a profit of 14%. 14% means 14 OUT OF 100...PERCENT ie 14/100 ie 0.14. So the profit is 0.14g.\r<BR>\n" );
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document.write( "b made a loss of 6%. 6% means 6 OUT OF 100 ie 6/100 ie 0.06. So, the loss is 0.06b.\r<BR>\n" );
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document.write( "Together, these gave Chris a total return of $102, so\r<BR>\n" );
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document.write( "0.14g - 0.06b = 102.\r<BR>\n" );
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document.write( "Note the negative sign, because the bicycle place was a loss.\r<BR>\n" );
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document.write( "So, 2 equations...2 unknowns...simultaneous equation time. You solve those.\r<BR>\n" );
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document.write( "Answers...b=1100, g=1200. Hopefully, from my definitions, this will answer your question.\r<BR>\n" );
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document.write( "cheers<BR>\n" );
document.write( "Jon. </SPAN>\n" );
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