document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=291550>Question 291550</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One solution contains 50% alcohol and another solution contains 80% alcohol. How many liters of each solution should be mixed to produce 10.5 liters of a 70% 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 #210841 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=210841\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 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 50% solution needed<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 80% solution needed<BR>\n" );
document.write( "In words:<BR>\n" );
document.write( "(liters of alcohol in final solution)/(total liters of final solution)<BR>\n" );
document.write( " = 70%<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "alcohol in 50% solution:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.5a ALIGN=MIDDLE  ALT=\".5a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "alcohol is 80% solution:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.8b ALIGN=MIDDLE  ALT=\".8b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.5a+%2B+.8b%29%2F10.5+=+.7 ALIGN=MIDDLE  ALT=\"%28.5a+%2B+.8b%29%2F10.5+=+.7\"   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+%2B+b+=+10.5 ALIGN=MIDDLE  ALT=\"a+%2B+b+=+10.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Multiply both sides of (1) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10.5 ALIGN=MIDDLE  ALT=\"10.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.5a+%2B+.8b+=+7.35 ALIGN=MIDDLE  ALT=\".5a+%2B+.8b+=+7.35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides of (2) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.5 ALIGN=MIDDLE  ALT=\".5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and subtract (2) from (1)<BR>\n" );
document.write( "(1)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.5a+%2B+.8b+=+7.35 ALIGN=MIDDLE  ALT=\".5a+%2B+.8b+=+7.35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-.5a+-+.5b+=+-5.25 ALIGN=MIDDLE  ALT=\"-.5a+-+.5b+=+-5.25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.3b+=+2.1 ALIGN=MIDDLE  ALT=\".3b+=+2.1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+7 ALIGN=MIDDLE  ALT=\"b+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And from (2):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+b+=+10.5 ALIGN=MIDDLE  ALT=\"a+%2B+b+=+10.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+7+=+10.5 ALIGN=MIDDLE  ALT=\"a+%2B+7+=+10.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+3.5 ALIGN=MIDDLE  ALT=\"a+=+3.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3.5 liters of 50% solution and 7 liters of 80% solution are needed<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "(1)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.5a+%2B+.8b%29%2F10.5+=+.7 ALIGN=MIDDLE  ALT=\"%28.5a+%2B+.8b%29%2F10.5+=+.7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.5%2A3.5+%2B+.8%2A7%29%2F10.5+=+.7 ALIGN=MIDDLE  ALT=\"%28.5%2A3.5+%2B+.8%2A7%29%2F10.5+=+.7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281.75+%2B+5.6%29%2F10.5+=+.7 ALIGN=MIDDLE  ALT=\"%281.75+%2B+5.6%29%2F10.5+=+.7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7.35+=+10.5%2A.7 ALIGN=MIDDLE  ALT=\"7.35+=+10.5%2A.7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7.35+=+7.35 ALIGN=MIDDLE  ALT=\"7.35+=+7.35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );