document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=116908>Question 116908</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Betty and Frank, working together can paint the exterior of a house in 3 days. Frank, by himself can complete the job in 8 days less than Betty. How long will it take Betty to complete the job by herself? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #85000 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=85000\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Betty can paint a house in b days.<BR>\n" );
document.write( "Frank can paint a house in (b-8) days.<BR>\n" );
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document.write( "1/b is the amt of the job betty can do in 1 day.<BR>\n" );
document.write( "1/(b-8) is the amt of the job Frank can do in 1 day.<BR>\n" );
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document.write( "1/b+ 1/(b-8)=1/3<BR>\n" );
document.write( "3(b-8)+3b=b(b-8) Multiply each side by 3b(b-8) to eliminate fractions.<BR>\n" );
document.write( "3b-24+3b=b^2-8b<BR>\n" );
document.write( "b^2-14b+24=0<BR>\n" );
document.write( "(b-2)(b-12)=0<BR>\n" );
document.write( "b=2, b=12 since Frank can do the job 8 days sooner than Betty b=2 is not an answer.<BR>\n" );
document.write( "b=12 days, f=4 days<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "1/12+ 1/4 =1/3<BR>\n" );
document.write( "1/12+ 3/12= 4/12 True.<BR>\n" );
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document.write( "Ed\r<BR>\n" );
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document.write( " </SPAN>\n" );
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