document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=980127>Question 980127</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are three types of liquids in a beverage of 700 litres. The ratio of measurement of the first and second liquid is 2:3 and the ratio of measurement of second and third is 4:5. Let's workout the ratio in which the first and the second liquid will be mixed so that the ratio of measurement of the three liquids become 6:5:3 in the same beverage.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #601334 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=601334\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I picture these liquids in the same container,<BR>\n" );
document.write( "but I am able to separate them from eachother<BR>\n" );
document.write( "and recombine them in different amounts<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a ALIGN=MIDDLE  ALT=\"+a\"   DISABLED_style= \"max-width:90%; height:auto;\" > = liters of 1st liquid originally<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = liters of 2nd liquid originally<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+ ALIGN=MIDDLE  ALT=\"+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = liters of 3rd liquid originally<BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+%2B+c+=+700+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+%2B+c+=+700+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%2Fb+=+2%2F3+ ALIGN=MIDDLE  ALT=\"+a%2Fb+=+2%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%2Fc+=+4%2F5+ ALIGN=MIDDLE  ALT=\"+b%2Fc+=+4%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "It sounds like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is going to stay the sme<BR>\n" );
document.write( "and also <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+ ALIGN=MIDDLE  ALT=\"+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" > will stay the same<BR>\n" );
document.write( "The new <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+ ALIGN=MIDDLE  ALT=\"+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5B1%5D+ ALIGN=MIDDLE  ALT=\"+a%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%5B1%5D+ ALIGN=MIDDLE  ALT=\"+b%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------------------------<BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+a%5B1%5D+%2B+b%5B1%5D+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+a%5B1%5D+%2B+b%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(5) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5B1%5D%2Fb%5B1%5D+=+6%2F5+ ALIGN=MIDDLE  ALT=\"+a%5B1%5D%2Fb%5B1%5D+=+6%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(6) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5B1%5D+%2B+b%5B1%5D+%2B+c+=+700+ ALIGN=MIDDLE  ALT=\"+a%5B1%5D+%2B+b%5B1%5D+%2B+c+=+700+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+%282%2F3%29%2Ab+ ALIGN=MIDDLE  ALT=\"+a+=+%282%2F3%29%2Ab+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+%284%2F5%29%2Ac+ ALIGN=MIDDLE  ALT=\"+b+=+%284%2F5%29%2Ac+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Substitute (3) into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+%288%2F15%29%2Ac+ ALIGN=MIDDLE  ALT=\"+a+=+%288%2F15%29%2Ac+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "(1) (8/15)*c + (4/5)*c + c = 700 }}}<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%288%2F15%29%2Ac+%2B+12%2F15%29%2Ac+%2B+%2815%2F15%29%2Ac+=+700+ ALIGN=MIDDLE  ALT=\"+%288%2F15%29%2Ac+%2B+12%2F15%29%2Ac+%2B+%2815%2F15%29%2Ac+=+700+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2835%2F15%29%2Ac+=+700+ ALIGN=MIDDLE  ALT=\"+%2835%2F15%29%2Ac+=+700+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+%283%2F7%29%2A700+ ALIGN=MIDDLE  ALT=\"+c+=+%283%2F7%29%2A700+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+300+ ALIGN=MIDDLE  ALT=\"+c+=+300+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+%284%2F5%29%2Ac+ ALIGN=MIDDLE  ALT=\"+b+=+%284%2F5%29%2Ac+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+%284%2F5%29%2A300+ ALIGN=MIDDLE  ALT=\"+b+=+%284%2F5%29%2A300+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+240+ ALIGN=MIDDLE  ALT=\"+b+=+240+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+%288%2F15%29%2Ac+ ALIGN=MIDDLE  ALT=\"+a+=+%288%2F15%29%2Ac+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+%288%2F15%29%2A300+ ALIGN=MIDDLE  ALT=\"+a+=+%288%2F15%29%2A300+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+160+ ALIGN=MIDDLE  ALT=\"+a+=+160+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+%2B+c+=+700+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+%2B+c+=+700+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+160+%2B+240+%2B+300+=+700+ ALIGN=MIDDLE  ALT=\"+160+%2B+240+%2B+300+=+700+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+700+=+700+ ALIGN=MIDDLE  ALT=\"+700+=+700+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+a%5B1%5D+%2B+b%5B1%5D+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+a%5B1%5D+%2B+b%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+160+%2B+240+=+a%5B1%5D+%2B+b%5B1%5D+ ALIGN=MIDDLE  ALT=\"+160+%2B+240+=+a%5B1%5D+%2B+b%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5B1%5D+%2B+b%5B1%5D+=+400+ ALIGN=MIDDLE  ALT=\"+a%5B1%5D+%2B+b%5B1%5D+=+400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(5) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5B1%5D%2Fb%5B1%5D+=+6%2F5+ ALIGN=MIDDLE  ALT=\"+a%5B1%5D%2Fb%5B1%5D+=+6%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(5) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5B1%5D+=+%286%2F5%29%2Ab%5B1%5D+ ALIGN=MIDDLE  ALT=\"+a%5B1%5D+=+%286%2F5%29%2Ab%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug this result into (4)<BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%286%2F5%29%2Ab%5B1%5D+%2B+b%5B1%5D+=+400+ ALIGN=MIDDLE  ALT=\"+%286%2F5%29%2Ab%5B1%5D+%2B+b%5B1%5D+=+400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2811%2F5%29%2Ab%5B1%5D+=+400+ ALIGN=MIDDLE  ALT=\"+%2811%2F5%29%2Ab%5B1%5D+=+400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%5B1%5D+=+2000%2F11+ ALIGN=MIDDLE  ALT=\"+b%5B1%5D+=+2000%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%5B1%5D+=+181.8182+ ALIGN=MIDDLE  ALT=\"+b%5B1%5D+=+181.8182+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(5) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5B1%5D+=+%286%2F5%29%2A%282000%2F11%29+ ALIGN=MIDDLE  ALT=\"+a%5B1%5D+=+%286%2F5%29%2A%282000%2F11%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(5) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5B1%5D+=+12000%2F55+ ALIGN=MIDDLE  ALT=\"+a%5B1%5D+=+12000%2F55+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(5) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5B1%5D+=+218.1818+ ALIGN=MIDDLE  ALT=\"+a%5B1%5D+=+218.1818+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5B1%5D+%2B+b%5B1%5D+=+400+ ALIGN=MIDDLE  ALT=\"+a%5B1%5D+%2B+b%5B1%5D+=+400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+181.8182+%2B+218.1818+=+400+ ALIGN=MIDDLE  ALT=\"+181.8182+%2B+218.1818+=+400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+400+=+400+ ALIGN=MIDDLE  ALT=\"+400+=+400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(6) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5B1%5D+%2B+b%5B1%5D+%2B+c+=+700+ ALIGN=MIDDLE  ALT=\"+a%5B1%5D+%2B+b%5B1%5D+%2B+c+=+700+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(6) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+400+%2B+300+=+700+ ALIGN=MIDDLE  ALT=\"+400+%2B+300+=+700+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(6) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+700+=+700+ ALIGN=MIDDLE  ALT=\"+700+=+700+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Finally:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5B1%5D+%2F+b%5B1%5D+=+218.1818%2F181.8182+ ALIGN=MIDDLE  ALT=\"+a%5B1%5D+%2F+b%5B1%5D+=+218.1818%2F181.8182+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5B1%5D%2Fb%5B1%5D+=+1.2+ ALIGN=MIDDLE  ALT=\"+a%5B1%5D%2Fb%5B1%5D+=+1.2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1.2+=+12%2F10+ ALIGN=MIDDLE  ALT=\"+1.2+=+12%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12%2F10+=+6%2F5+ ALIGN=MIDDLE  ALT=\"+12%2F10+=+6%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "So, the amounts of the new <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > are:<BR>\n" );
document.write( "218.1818 liters and 181.8182 liters\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );