document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1128991>Question 1128991</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A furniture company makes large and small chairs. A small chair takes 20 minutes of machine time and 60 minutes of labor to build. A large chair takes 50 minutes of machine time and&#8195;&#8195;90 minutes of labor to build. The company has 69 hours of labor time and 31 hours of machine time available each day. How many of each type of chair is built in a&#8203; day?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #745525 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=745525\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A furniture company makes large and small chairs. A small chair takes 20 minutes of machine time and 60 minutes of labor to build. A large chair takes 50 minutes of machine time and&#8195;&#8195;90 minutes of labor to build. The company has 69 hours of labor time and 31 hours of machine time available each day. How many of each type of chair is built in a&#8203; day? <BR>\n" );
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document.write( "Labor equality:: 60S + 90L = 69*60 minutes<BR>\n" );
document.write( "Machine equality:: 20S + 50L = 31*60 minutes<BR>\n" );
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document.write( "Simplify:: <BR>\n" );
document.write( "6S + 9L = 414<BR>\n" );
document.write( "2S + 5L = 186<BR>\n" );
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document.write( "Modify and solve for \"L\"::<BR>\n" );
document.write( "6S + 9L = 414<BR>\n" );
document.write( "6s + 15L = 558<BR>\n" );
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document.write( "Subtract and solve for \"L\"::<BR>\n" );
document.write( "6L = 144<BR>\n" );
document.write( "L = 24 (# of Large chairs to build)<BR>\n" );
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document.write( "Solve for \"S\"::<BR>\n" );
document.write( "2S + 15L = 558<BR>\n" );
document.write( "2S = 558-15*24<BR>\n" );
document.write( "S = 279-180<BR>\n" );
document.write( "S = 99 (# of Small chairs to build)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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