document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=979862>Question 979862</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The amount of time it takes p people to paint d doors varies directly with the number of doors and inversely with the number of people. Four people can paint 10 doors in 2 hours. How many people will it take to paint 25 doors in 5 hours? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #601102 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=601102\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> time = k * ( d / p ) where k is the constant of proportionality<BR>\n" );
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document.write( "2 = k * (10/4)<BR>\n" );
document.write( "10k = 8<BR>\n" );
document.write( "k = 8/10 = 4/5<BR>\n" );
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document.write( "5 = (4/5) * (25/p)<BR>\n" );
document.write( "5 = 100 / 5p<BR>\n" );
document.write( "25p = 100<BR>\n" );
document.write( "p = 4<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "4 people will paint 25 doors in 5 hours<BR>\n" );
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