document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=983941>Question 983941</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Confusion with basic division and multiplication.\r<BR>\n" );
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document.write( "If 8 men can chop 9 cords of wood in 6 hours, how amny hours will it take 4 men to chop 3 cords of wood?\r<BR>\n" );
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document.write( "I saw an answer to this that went something like\r<BR>\n" );
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document.write( "8M takes 6H to chop 9C<BR>\n" );
document.write( "1M takes (6*8)=48H to chop 9C<BR>\n" );
document.write( "1M takes (48/3)=16H to chop 3C<BR>\n" );
document.write( "Hence, 4M takes (16/4)=4h to chop 3c<BR>\n" );
document.write( "Answer 4 Hours\r<BR>\n" );
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document.write( "I don't understand any of this. Why is it 6*8? for one person to cut 9C?<BR>\n" );
document.write( "then why does the hour change why is 48 then divided by 3? or maybe I copied that wrong?<BR>\n" );
document.write( "and finally where does the 16 come from and why is it being divided by 4? It doesn't make sense to me.\r<BR>\n" );
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document.write( "Please explain<BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #604736 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=604736\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you are comfortable with the basic algebra needed, then the example problem is best understood<BR>\n" );
document.write( "rate of doing work.<BR>\n" );
document.write( "People working on the same job together do the work according to the sum of their individual rates.\r<BR>\n" );
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document.write( "Rate of wood chopping multiplied by time of wood chopping becomes amount of wood chopped.<BR>\n" );
document.write( "RT=W to relate rate, time, and amount of wood or amount of Work.\r<BR>\n" );
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document.write( "The example gives two descriptions.<BR>\n" );
document.write( "Assign some variables, but being done with different names than your example steps are showing.<BR>\n" );
document.write( "r, the rate for one wood-chopper in unit of CORD/HOUR<BR>\n" );
document.write( "Time will be in HOUR unit<BR>\n" );
document.write( "WORK will be in CORD unit  (\"cords of wood\").\r<BR>\n" );
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document.write( "8 men, 9 cords, 6 hours:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8r%2A6=9 ALIGN=MIDDLE  ALT=\"8r%2A6=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "4 men, 3 cords, how much time:<BR>\n" );
document.write( "We need another variable, ...<BR>\n" );
document.write( "Let t be the time in hours which we want to solve.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4r%2At=3 ALIGN=MIDDLE  ALT=\"4r%2At=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We formed two equations making a system of equations.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28system%288r%2A6=9%2C4r%2At=3%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28system%288r%2A6=9%2C4r%2At=3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This can be solved for each of the two variables, r and t.<BR>\n" );
document.write( "CAN YOU solve this system?<BR>\n" );
document.write( "Solve the first equation for r.<BR>\n" );
document.write( "Use what you find for r in the other equation and solve for t.<BR>\n" );
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