document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=886219>Question 886219</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One factory takes four days to produce an airplane, another takes five, and a <BR>\n" );
document.write( "third takes seven days. How long does it take the three factories combined to <BR>\n" );
document.write( "produce eighty-three airplanes?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #535763 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=535763\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One factory takes four days to produce an airplane, another takes five, and a <BR>\n" );
document.write( "third takes seven days. How long does it take the three factories combined to <BR>\n" );
document.write( "produce eighty-three airplanes? <BR>\n" );
document.write( "Let \"x\" be the number of days.<BR>\n" );
document.write( "Rate for each factory:: <BR>\n" );
document.write( "1/4 plane per day<BR>\n" );
document.write( "1/5 plane per day<BR>\n" );
document.write( "1/3 plane per day<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "(1/4)x + (1/5)x + (1/3)x = 83<BR>\n" );
document.write( "Multiply thru by 60 to get:<BR>\n" );
document.write( "15x + 12x + 20x = 83*60<BR>\n" );
document.write( "47x = 83*60<BR>\n" );
document.write( "x = 105.96 days<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );