document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158544>Question 1158544</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dan the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Friday there were 5 clients who did Plan A and 3 who did plan B. On Saturday there were 2 clients who did Plan A and 12 who did Plan B. Dan trained his Friday clients for a total of 7 hours and his Saturday clients for a total of 19 hours. How long does each of the workout plans last?\r<BR>\n" );
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document.write( "Length of each Plan A workout ___ hour(s) ?<BR>\n" );
document.write( "Length of each Plan B workout ___ hour(s) ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #781985 by </B><A HREF=/tutors/aboutme.mpl?userid=Amily_2190><B>Amily_2190(27)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Amily_2190><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=781985\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Lets say<BR>\n" );
document.write( "Plan A= A<BR>\n" );
document.write( "Plan B= B\r<BR>\n" );
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document.write( "Friday: 5 Plan A and 3 Plan B for a total of 7 hours <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5A%2B3B=7 ALIGN=MIDDLE  ALT=\"5A%2B3B=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Saturday: 2 Plan A and 12 Plan B for a total of 12 hrs <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2A%2B12B=12 ALIGN=MIDDLE  ALT=\"2A%2B12B=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now we solve for each variable using elimination:<BR>\n" );
document.write( "-Multiply the first equation by negative 4 to cancel out the positive 12 B in the second equation.<BR>\n" );
document.write( "-4(5A+3B)=-4(7)<BR>\n" );
document.write( "-20A-12B=-28\r<BR>\n" );
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document.write( "-20A-12B=-28<BR>\n" );
document.write( "2A+12B=12<BR>\n" );
document.write( "(Add equations)<BR>\n" );
document.write( "-18A=-16<BR>\n" );
document.write( "A=-16/-18= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F9 ALIGN=MIDDLE  ALT=\"8%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now we solve for B by substituting the value of A into one equation<BR>\n" );
document.write( "2A+12B=12<BR>\n" );
document.write( "2(8/9)+12B=12<BR>\n" );
document.write( "(16/9)+12B=12<BR>\n" );
document.write( "12B=92/9<BR>\n" );
document.write( "B=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23%2F27 ALIGN=MIDDLE  ALT=\"23%2F27\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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