document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196657>Question 1196657</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two factory plants are making TV panels. Yesterday, Plant A produced 6000 fewer panels than Plant B did. Three percent of the panels from Plant A and 4% of the panels from Plant B were defective. How many panels did Plant B produce, if the two plants together produced 800 defective panels?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #829586 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=829586\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
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document.write( "let the number of TV panels plant A produced be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the number of TV panels plant B produced be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if plant A produced 6000 fewer panels than Plant B did, we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=b-6000 ALIGN=MIDDLE  ALT=\"a=b-6000\"   DISABLED_style= \"max-width:90%; height:auto;\" >........eq.1\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > percent of the panels from Plant A were defective , we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.03a ALIGN=MIDDLE  ALT=\"0.03a\"   DISABLED_style= \"max-width:90%; height:auto;\" > defective panels\r<BR>\n" );
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document.write( " if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" >% of the panels from Plant B were defective, we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.04b ALIGN=MIDDLE  ALT=\"0.04b\"   DISABLED_style= \"max-width:90%; height:auto;\" > defective panels\r<BR>\n" );
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document.write( " if the two plants together produced <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=800 ALIGN=MIDDLE  ALT=\"800\"   DISABLED_style= \"max-width:90%; height:auto;\" > defective panels, we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.03a%2B0.04b=800 ALIGN=MIDDLE  ALT=\"0.03a%2B0.04b=800\"   DISABLED_style= \"max-width:90%; height:auto;\" >......eq.2\r<BR>\n" );
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document.write( "sabstitite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > from eq.1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.03%28b-6000%29%2B0.04b=800 ALIGN=MIDDLE  ALT=\"0.03%28b-6000%29%2B0.04b=800\"   DISABLED_style= \"max-width:90%; height:auto;\" >......eq.2, solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.03b-180%2B0.04b=800 ALIGN=MIDDLE  ALT=\"0.03b-180%2B0.04b=800\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.07b=800%2B180 ALIGN=MIDDLE  ALT=\"0.07b=800%2B180\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.07b=980 ALIGN=MIDDLE  ALT=\"0.07b=980\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=980%2F0.07 ALIGN=MIDDLE  ALT=\"b=980%2F0.07\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=14000 ALIGN=MIDDLE  ALT=\"b=14000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "go to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=b-6000 ALIGN=MIDDLE  ALT=\"a=b-6000\"   DISABLED_style= \"max-width:90%; height:auto;\" >........eq.1, substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=14000-6000 ALIGN=MIDDLE  ALT=\"a=14000-6000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=8000 ALIGN=MIDDLE  ALT=\"a=8000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Plant A produced <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8000 ALIGN=MIDDLE  ALT=\"8000\"   DISABLED_style= \"max-width:90%; height:auto;\" > and  Plant B produced <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14000 ALIGN=MIDDLE  ALT=\"14000\"   DISABLED_style= \"max-width:90%; height:auto;\" > panels.\r<BR>\n" );
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document.write( "check the number of defective panels:\r<BR>\n" );
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document.write( "Plant A produced <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.03%2A8000=240 ALIGN=MIDDLE  ALT=\"0.03%2A8000=240\"   DISABLED_style= \"max-width:90%; height:auto;\" > defective panels<BR>\n" );
document.write( " Plant B produced <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.04%2A14000=560 ALIGN=MIDDLE  ALT=\"0.04%2A14000=560\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "total:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240%2B560=800 ALIGN=MIDDLE  ALT=\"240%2B560=800\"   DISABLED_style= \"max-width:90%; height:auto;\" > which confirms our results\r<BR>\n" );
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document.write( " </SPAN>\n" );
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