document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1046826>Question 1046826</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two factory plants are making TV panels. Yesterday, Plant A produced 8000 panels. 6% percent of the panels from Plant A and 2% of the panels from Plant B were defective. How many panels did Plant B produce, if the overall percentage of defective panels from the two plants was 3%?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #662575 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=662575\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> plant A produced 8000 panels.\r<BR>\n" );
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document.write( "6% of the panels from plant A and 2% of the panels from plant B were defective.\r<BR>\n" );
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document.write( "how many panels did plant B produce if the overall percentage of defective panels from the two plants was 3%.\r<BR>\n" );
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document.write( "if x is the number of panels produced by plant A and y is the number of panels produced by plant B, then:\r<BR>\n" );
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document.write( ".06 * x + .02 * y = .03 * (x + y)\r<BR>\n" );
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document.write( "you know that x equals 8000, so the formula becomes:\r<BR>\n" );
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document.write( ".06 * 8000 + .02 * y = .03 * (8000 + y)\r<BR>\n" );
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document.write( "simplify this equation to get:\r<BR>\n" );
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document.write( "480 + .02 * y = 240 + .03 * y\r<BR>\n" );
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document.write( "subtract 240 from both sides of this equation and subtract .02 * y from both sides of this equation to get:\r<BR>\n" );
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document.write( "240 = .01 * y\r<BR>\n" );
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document.write( "solve for y to get:\r<BR>\n" );
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document.write( "y = 240 / .01 = 24,000.\r<BR>\n" );
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document.write( "plant B produced 24,000.\r<BR>\n" );
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document.write( "together they produced 8,000 + 24,000 = 32,000 panels.\r<BR>\n" );
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document.write( ".06 * 8000 = 480 defective from plant A.\r<BR>\n" );
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document.write( ".02 * 24000 = 480 defective from plant B.\r<BR>\n" );
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document.write( "total defective = 960.\r<BR>\n" );
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document.write( "total percent defective from both plants was 960 / 32000 * 100 = 3 %.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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