document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=234400>Question 234400</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Maria added white vinegar solution of acetic acid in water. There are 2 strengths of white vinegar-a 5% solution and a 10% solution. How many millilitres of each solution must she mix to make 50mL of a 9% vinegar solution? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #172836 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=172836\">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;\" > = ml of 5% solution to be added <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 10% solution to be added<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "Total ml of final solution = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50 ALIGN=MIDDLE  ALT=\"50\"   DISABLED_style= \"max-width:90%; height:auto;\" > ml<BR>\n" );
document.write( "Ml of acetic acid in final solution, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.09%2A50+=+4.5 ALIGN=MIDDLE  ALT=\".09%2A50+=+4.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > ml<BR>\n" );
document.write( "------------------------------------------------<BR>\n" );
document.write( "In words:<BR>\n" );
document.write( "( acetic acid in 5% solution) + (acetic acid in 10% solution)/ (total ml of solution) = 9%<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.05a+%2B+.1b%29%2F50+=+.09 ALIGN=MIDDLE  ALT=\"%28.05a+%2B+.1b%29%2F50+=+.09\"   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+=+50 ALIGN=MIDDLE  ALT=\"a+%2B+b+=+50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is 2 equations and 2 unknowns, so it's solvable<BR>\n" );
document.write( "Multiply both sides of (1) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50 ALIGN=MIDDLE  ALT=\"50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.05a+%2B+.1b+=+4.5 ALIGN=MIDDLE  ALT=\".05a+%2B+.1b+=+4.5\"   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+10b+=+450 ALIGN=MIDDLE  ALT=\"5a+%2B+10b+=+450\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now 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;\" > and subtract from (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5a+%2B+10b+=+450 ALIGN=MIDDLE  ALT=\"5a+%2B+10b+=+450\"   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+=+-250 ALIGN=MIDDLE  ALT=\"-5a+-+5b+=+-250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5b+=+200 ALIGN=MIDDLE  ALT=\"5b+=+200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+40 ALIGN=MIDDLE  ALT=\"b+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, since<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+b+=+50 ALIGN=MIDDLE  ALT=\"a+%2B+b+=+50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+50+-+40 ALIGN=MIDDLE  ALT=\"a+=+50+-+40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+10 ALIGN=MIDDLE  ALT=\"a+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "10 ml of 5% solution and 40 ml of 10% 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=.05a+%2B+.1b%29%2F50+=+.09 ALIGN=MIDDLE  ALT=\".05a+%2B+.1b%29%2F50+=+.09\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.05%2A10+%2B+.1%2A40%29%2F50+=+.09 ALIGN=MIDDLE  ALT=\".05%2A10+%2B+.1%2A40%29%2F50+=+.09\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.5+%2B+4%29%2F50+=+.09 ALIGN=MIDDLE  ALT=\"%28.5+%2B+4%29%2F50+=+.09\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.5%2F50+=+.09 ALIGN=MIDDLE  ALT=\"4.5%2F50+=+.09\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.09+=+.09 ALIGN=MIDDLE  ALT=\".09+=+.09\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );