document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=994279>Question 994279</A>: <I><SPAN STYLE=\"word-break: break-all;\"> confused on this word problem..need helpppp\r<BR>\n" );
document.write( "\n" );
document.write( "20% alcohol solution and 70% alcohol solution available. how many liters of each must the pharmacy use to make a mixture containing 50 liters of 60% alcohol solution? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #613441 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=613441\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= liters of 20% alcohol solution to be used<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >= liters of 70% alcohol solution to be used<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.2x ALIGN=MIDDLE  ALT=\"0.2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= liters of alcohol in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters of 20% alcohol solution<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.7y ALIGN=MIDDLE  ALT=\"0.7y\"   DISABLED_style= \"max-width:90%; height:auto;\" >= liters of alcohol in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters of 70% alcohol solution<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.6%2A50=30 ALIGN=MIDDLE  ALT=\"0.6%2A50=30\"   DISABLED_style= \"max-width:90%; height:auto;\" >= liters of alcohol in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50 ALIGN=MIDDLE  ALT=\"50\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters of 60% alcohol solution<BR>\n" );
document.write( "When you mix the two solutions you want:<BR>\n" );
document.write( "a total volume of 50 liters, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=50 ALIGN=MIDDLE  ALT=\"x%2By=50\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and<BR>\n" );
document.write( "a total alcohol amount of 30 liters, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.2x%2B0.7y=30 ALIGN=MIDDLE  ALT=\"0.2x%2B0.7y=30\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "So you have to solve<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2By=50%2C0.2x%2B0.7y=30%29 ALIGN=MIDDLE  ALT=\"system%28x%2By=50%2C0.2x%2B0.7y=30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Solving:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2By=50%2C0.2x%2B0.7y=30%29 ALIGN=MIDDLE  ALT=\"system%28x%2By=50%2C0.2x%2B0.7y=30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=50-x%2C0.2x%2B0.7y=30%29 ALIGN=MIDDLE  ALT=\"system%28y=50-x%2C0.2x%2B0.7y=30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=50-x%2C0.2x%2B0.7%2850-x%29=30%29 ALIGN=MIDDLE  ALT=\"system%28y=50-x%2C0.2x%2B0.7%2850-x%29=30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=50-x%2C0.2x%2B0.7%2A50-0.7x=30%29 ALIGN=MIDDLE  ALT=\"system%28y=50-x%2C0.2x%2B0.7%2A50-0.7x=30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=50-x%2C0.2x%2B35-0.7x=30%29 ALIGN=MIDDLE  ALT=\"system%28y=50-x%2C0.2x%2B35-0.7x=30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=50-x%2C0.2x%2B35-0.7x=30%29 ALIGN=MIDDLE  ALT=\"system%28y=50-x%2C0.2x%2B35-0.7x=30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=50-x%2C35-0.5x=30%29 ALIGN=MIDDLE  ALT=\"system%28y=50-x%2C35-0.5x=30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=50-x%2C35-30=0.5x%29 ALIGN=MIDDLE  ALT=\"system%28y=50-x%2C35-30=0.5x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=50-x%2C5=0.5x%29 ALIGN=MIDDLE  ALT=\"system%28y=50-x%2C5=0.5x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=50-x%2Cx=10%29 ALIGN=MIDDLE  ALT=\"system%28y=50-x%2Cx=10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=50-10%2Cx=10%29 ALIGN=MIDDLE  ALT=\"system%28y=50-10%2Cx=10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28system%28y=40%2Cx=10%29%29 ALIGN=MIDDLE  ALT=\"highlight%28system%28y=40%2Cx=10%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The pharmacy should mix 10 liters of 20% alcohol solution and 40 liters of 70% alcohol solution.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "NOTE:If you did not study systems of equations, then use <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50-x ALIGN=MIDDLE  ALT=\"50-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > instead of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > , first find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.2x%2B0.7%2850-x%29=30 ALIGN=MIDDLE  ALT=\"0.2x%2B0.7%2850-x%29=30\"   DISABLED_style= \"max-width:90%; height:auto;\" > ;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.2x%2B0.7%2850-x%29=30 ALIGN=MIDDLE  ALT=\"0.2x%2B0.7%2850-x%29=30\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.2x%2B0.7%2A50-0.7x=30 ALIGN=MIDDLE  ALT=\"0.2x%2B0.7%2A50-0.7x=30\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.2x%2B35-0.7x=30 ALIGN=MIDDLE  ALT=\"0.2x%2B35-0.7x=30\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35-0.5x=30 ALIGN=MIDDLE  ALT=\"35-0.5x=30\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-0.5x=30-35 ALIGN=MIDDLE  ALT=\"-0.5x=30-35\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-0.5x=-5 ALIGN=MIDDLE  ALT=\"-0.5x=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-5%29%2F%28-0.5%29 ALIGN=MIDDLE  ALT=\"x=%28-5%29%2F%28-0.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=10%29 ALIGN=MIDDLE  ALT=\"highlight%28x=10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Then you calculate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50-x=highlight%2840%29 ALIGN=MIDDLE  ALT=\"50-x=highlight%2840%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );