document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1175016>Question 1175016</A>: <I><SPAN STYLE=\"word-break: break-all;\"> jessie and mark are planning to paint the house together. jessie thinks that if he works alone, it would take him 5 hours more than the time mark takes to paint the entire house. working together, they can complete the job in 6 hours.\r<BR>\n" );
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document.write( "if mark can finish the job in m hours, how long will it take jessie to finish the job?\r<BR>\n" );
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document.write( "DEFINE VARIABLES<BR>\n" );
document.write( "THOUGHT PROCESS<BR>\n" );
document.write( "EQUATIONS<BR>\n" );
document.write( "SOLVING EQUATIONS<BR>\n" );
document.write( "ANSWER\r<BR>\n" );
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document.write( "KINDLY HELP ME FOR THIS ! THANK YOU💜 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #800688 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=800688\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> jessie and mark are planning to paint the house together.<BR>\n" );
document.write( " jessie thinks that if he works alone, it would take him 5 hours more than the time mark takes to paint the entire house.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let m = time required by Mark to complete the job (a painted house)<BR>\n" );
document.write( "Jessie take 5 hr longer than Mark, therefore<BR>\n" );
document.write( "(m+5) = time required by Jesse to do it alone<BR>\n" );
document.write( "let the completed job = 1<BR>\n" );
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document.write( "working together, they can complete the job in 6 hours.<BR>\n" );
document.write( "Each will do a fraction of the job, the two fractions add up 1 (thought process)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fm ALIGN=MIDDLE  ALT=\"6%2Fm\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%28%28m%2B5%29%29 ALIGN=MIDDLE  ALT=\"6%2F%28%28m%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply eq by m(m+5), cancel the denominators<BR>\n" );
document.write( "6(m+5) + 6m = m(m+5)<BR>\n" );
document.write( "6m + 30 + 6m = m^2 + 5m<BR>\n" );
document.write( "12m + 30 = m^2 + 6m<BR>\n" );
document.write( "form a quadratic equation on the right<BR>\n" );
document.write( "0 = m^2 + 5m - 12m - 30<BR>\n" );
document.write( "0 = m^2 - 7m - 30<BR>\n" );
document.write( "this will factor to<BR>\n" );
document.write( "(m-10)(m+3) = 0<BR>\n" );
document.write( "the positive solution is all we want here<BR>\n" );
document.write( "m = 10 hrs for Mark to the do the job alone<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "10+5 = 15 hrs for Jessie alone<BR>\n" );
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document.write( "See if that checks out<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F10 ALIGN=MIDDLE  ALT=\"6%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F15 ALIGN=MIDDLE  ALT=\"6%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( "Reduce fraction<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5 ALIGN=MIDDLE  ALT=\"3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F5 ALIGN=MIDDLE  ALT=\"2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 </SPAN>\n" );
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