document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=965476>Question 965476</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes 35 minutes for 10 people to paint 7 walls.\r<BR>\n" );
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document.write( "How many minutes does it take 6 people to paint 6 walls? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #590151 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=590151\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> r*p*t = q is the general formula that's used for this type of problem.\r<BR>\n" );
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document.write( "r = rate of one person<BR>\n" );
document.write( "p = number of people<BR>\n" );
document.write( "t = time<BR>\n" );
document.write( "q = quantity\r<BR>\n" );
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document.write( "in your problem, you have:\r<BR>\n" );
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document.write( "p = 10<BR>\n" );
document.write( "t = 35 minutes<BR>\n" );
document.write( "q = 7 walls\r<BR>\n" );
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document.write( "r*p*t = q becomes r*10*35 = 7\r<BR>\n" );
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document.write( "solve for r to get r = 7/(10*35) = 7/350.\r<BR>\n" );
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document.write( "this means that each person can paint 7/350 of a wall in 1 minute.\r<BR>\n" );
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document.write( "now you have 6 people painting 6 walls and you want to know how long that will take if each person works at the same rate as before.\r<BR>\n" );
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document.write( "r*p*t = q becomes 7/350 * 6 * t = 6\r<BR>\n" );
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document.write( "solve for t to get t = 6 / (7/350 * 6) which becomes 6 * 350 / 7 / 6 which becomes 350 / 7 which becomes 50.\r<BR>\n" );
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document.write( "it will take 6 people 50 minutes to paint 6 walls if each person can paint an average of 7/350 of a wall in 1 minute.\r<BR>\n" );
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document.write( "r*p*t = q becomes 7/350 * 6 * 50 = 6<BR>\n" );
document.write( "simplify to get 6 = 6.<BR>\n" );
document.write( "this confirms that 50 minutes is the correct solution.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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