document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1166462>Question 1166462</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "The points P Q R S lie on a straight line. The ratio of the length PQ to the length of QR is 3:5. The ratio of the length of PR to QS is 5:4. What is the ratio of the length of QR to the length RS to the length of PS.\r<BR>\n" );
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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 #791198 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=791198\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The points P Q R S lie on a straight line.<BR>\n" );
document.write( " The ratio of the length PQ to the length of QR is 3:5.<BR>\n" );
document.write( " The ratio of the length of PR to QS is 5:4.<BR>\n" );
document.write( " What is the ratio of the length of QR to the length RS to the length of PS.<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "P------x-------Q------y--------R-------z-------S<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"The ratio of the length PQ to the length of QR is 3:5.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fy ALIGN=MIDDLE  ALT=\"x%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <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;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "3y = 5x<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F3 ALIGN=MIDDLE  ALT=\"5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\" The ratio of the length of PR to QS is 5:4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2By%29%29%2F%28%28y%2Bz%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2By%29%29%2F%28%28y%2Bz%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F4 ALIGN=MIDDLE  ALT=\"5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "5(y+z) = 4(x+y)<BR>\n" );
document.write( "5y + 5z = 4x + 4y<BR>\n" );
document.write( "5z = 4x + 4y - 5y<BR>\n" );
document.write( "5z = 4x - y<BR>\n" );
document.write( "z = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%284x-y%29%29%2F5 ALIGN=MIDDLE  ALT=\"%28%284x-y%29%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "replace y with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F3 ALIGN=MIDDLE  ALT=\"5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x<BR>\n" );
document.write( "z = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%284x-%28%285x%29%2F3%29%29%29%2F5 ALIGN=MIDDLE  ALT=\"%28%284x-%28%285x%29%2F3%29%29%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "z = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2812x%2F3%29-%285x%2F3%29%29%2F5 ALIGN=MIDDLE  ALT=\"%28%2812x%2F3%29-%285x%2F3%29%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "z = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287x%2F3%29%2A%281%2F5%29 ALIGN=MIDDLE  ALT=\"%287x%2F3%29%2A%281%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "z = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2F15 ALIGN=MIDDLE  ALT=\"7x%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "we can get rid of all these fractions,<BR>\n" );
document.write( " let x=15<BR>\n" );
document.write( "then<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F3 ALIGN=MIDDLE  ALT=\"5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x<BR>\n" );
document.write( "y = 25<BR>\n" );
document.write( "and<BR>\n" );
document.write( "z = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2815%29%2F15 ALIGN=MIDDLE  ALT=\"7%2815%29%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "z = 7<BR>\n" );
document.write( ":<BR>\n" );
document.write( "So we have<BR>\n" );
document.write( "x: PQ=15<BR>\n" );
document.write( "Y: QR=25<BR>\n" );
document.write( "z: RS=7<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "PS = 15+25+7 = 47<BR>\n" );
document.write( ":<BR>\n" );
document.write( " What is the ratio of the length of QR to the length RS to the length of PS.<BR>\n" );
document.write( "25:7:47 </SPAN>\n" );
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