document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=421455>Question 421455</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this word problem the production of a small factory is modeled by x+21/2x(x+5), while the production rate of another factory is modeled by 9x+16/2x(x+5). which is a model for the combined production rate of the two factories? \r<BR>\n" );
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document.write( "i put / because its a fraction thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #294314 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=294314\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> production rate of first factory is (x+21) / (2x*(x+5))<BR>\n" );
document.write( "production rate of second factory is (9x+16) / (2x*(x+5))\r<BR>\n" );
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document.write( "product rate of both factories combined is additive and equals:\r<BR>\n" );
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document.write( "((x+21) / (2x*(x+5))) + ((9x+16) / (2x*(x+5))) = ((x+21) + (9x+16)) / (2x*(x+5))\r<BR>\n" );
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document.write( "the fractions can be combined because the denominators are the same.\r<BR>\n" );
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document.write( "you can then simplify by combining like terms to get:\r<BR>\n" );
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document.write( "combined rate of production equals (10x + 37) / (2x*(x+5))\r<BR>\n" );
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document.write( "here's how combining production rates work.\r<BR>\n" );
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document.write( "i can product 5 widgets an hour.<BR>\n" );
document.write( "you can produce 10 widgets an hour.\r<BR>\n" );
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document.write( "together we can produce 15 widgets an hour (my 5 per hour plus your 10 per hour). </SPAN>\n" );
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