document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=763409>Question 763409</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solution 1 consists of 80% benzene and 20% toluene. Solution 2 consists of 30% benzene and 70% toluene. \r<BR>\n" );
document.write( "\n" );
document.write( "a) How many mL of Solution 1 must be added to 500 mL of Solution 2 in order to produce a solution that is 70% benzene?\r<BR>\n" );
document.write( "\n" );
document.write( "b) How many mL of Solution 1 and how many mL of Solution 2 must be combined to form a 100 mL solution that is 50% benzene and 50% toluene? \r<BR>\n" );
document.write( "\n" );
document.write( "c) Is there a combination of Solution 1 and Solution 2 that is 90% benzene and 10% toluene?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #464809 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=464809\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (a)<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;\" > = ml of solution 1 to be added<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.8a+ ALIGN=MIDDLE  ALT=\"+.8a+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = ml of benzene in solution 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.3%2A500+=+150+ ALIGN=MIDDLE  ALT=\"+.3%2A500+=+150+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ml of benzene in solution 2<BR>\n" );
document.write( "----------------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+.8a+%2B+150+%29+%2F+%28+a+%2B+500+%29+=+.7+ ALIGN=MIDDLE  ALT=\"+%28+.8a+%2B+150+%29+%2F+%28+a+%2B+500+%29+=+.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.8a+%2B+150+=+.7%2A%28+a+%2B+500+%29+ ALIGN=MIDDLE  ALT=\"+.8a+%2B+150+=+.7%2A%28+a+%2B+500+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.8a+%2B+150+=+.7a+%2B+350+ ALIGN=MIDDLE  ALT=\"+.8a+%2B+150+=+.7a+%2B+350+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.1a+=+200+ ALIGN=MIDDLE  ALT=\"+.1a+=+200+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+2000+ ALIGN=MIDDLE  ALT=\"+a+=+2000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2000 ml ( 2 l ) of solution 1 must be added<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+.8a+%2B+150+%29+%2F+%28+a+%2B+500+%29+=+.7+ ALIGN=MIDDLE  ALT=\"+%28+.8a+%2B+150+%29+%2F+%28+a+%2B+500+%29+=+.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+.8%2A2000+%2B+150+%29+%2F+%28+2000+%2B+500+%29+=+.7+ ALIGN=MIDDLE  ALT=\"+%28+.8%2A2000+%2B+150+%29+%2F+%28+2000+%2B+500+%29+=+.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+1600+%2B+150+%29+%2F+2500+=+.7+ ALIGN=MIDDLE  ALT=\"+%28+1600+%2B+150+%29+%2F+2500+=+.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1750+=+.7%2A2500+ ALIGN=MIDDLE  ALT=\"+1750+=+.7%2A2500+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1750+=+1750+ ALIGN=MIDDLE  ALT=\"+1750+=+1750+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "(b)<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;\" > = ml of solution 1 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;\" > = ml of solution 2 needed<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+100+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+.8a+%2B+.3b+%29+%2F+100+=+.5+ ALIGN=MIDDLE  ALT=\"+%28+.8a+%2B+.3b+%29+%2F+100+=+.5+\"   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=+.8a+%2B+.3b+=+.5%2A100+ ALIGN=MIDDLE  ALT=\"+.8a+%2B+.3b+=+.5%2A100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.8a+%2B+.3b+=+50+ ALIGN=MIDDLE  ALT=\"+.8a+%2B+.3b+=+50+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8a+%2B+3b+=+500+ ALIGN=MIDDLE  ALT=\"+8a+%2B+3b+=+500+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides of (1) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+ ALIGN=MIDDLE  ALT=\"+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and subtract (1) from (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8a+%2B+3b+=+500+ ALIGN=MIDDLE  ALT=\"+8a+%2B+3b+=+500+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-3a+-+3b+=+-300+ ALIGN=MIDDLE  ALT=\"+-3a+-+3b+=+-300+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5a+=+200+ ALIGN=MIDDLE  ALT=\"+5a+=+200+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+40+ ALIGN=MIDDLE  ALT=\"+a+=+40+\"   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=+a+%2B+b+=+100+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+60+ ALIGN=MIDDLE  ALT=\"+b+=+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "40 ml of solution 1 is needed<BR>\n" );
document.write( "60 ml of solution 2 is needed<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "(c)<BR>\n" );
document.write( "No. You can't get a greater % of benzene than<BR>\n" );
document.write( "either of the 2 solutions have which is<BR>\n" );
document.write( "80% and 30%\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );