document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=403224>Question 403224</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A chemist has two solutions. one has 40% the other 25% concentrate. how many liters of each solution must be mixed to obtain 129liters of 34% solution??\r<BR>\n" );
document.write( "\n" );
document.write( "I missed class yesterday n today n this question is on my homework n i have no idea how i would set it up. plz help.... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #285149 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=285149\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Lt <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 40% 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 25% solution needed<BR>\n" );
document.write( "In words:<BR>\n" );
document.write( "(total liters of concentrate)/(total liters of solution) = 34%<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+b+=+129 ALIGN=MIDDLE  ALT=\"a+%2B+b+=+129\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.4a+%2B+.25b%29%2F129+=+.34 ALIGN=MIDDLE  ALT=\"%28.4a+%2B+.25b%29%2F129+=+.34\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "From (2):<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.4a+%2B+.25b+=+43.86 ALIGN=MIDDLE  ALT=\".4a+%2B+.25b+=+43.86\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100 ALIGN=MIDDLE  ALT=\"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=40a+%2B+25b+=+4386 ALIGN=MIDDLE  ALT=\"40a+%2B+25b+=+4386\"   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=25 ALIGN=MIDDLE  ALT=\"25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and subtract from (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40a+%2B+25b+=+4386 ALIGN=MIDDLE  ALT=\"40a+%2B+25b+=+4386\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-25a+-+25b+=+-3225 ALIGN=MIDDLE  ALT=\"-25a+-+25b+=+-3225\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15a+=+1161 ALIGN=MIDDLE  ALT=\"15a+=+1161\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+77.4 ALIGN=MIDDLE  ALT=\"a+=+77.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, from (1),<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+129+-+77.4 ALIGN=MIDDLE  ALT=\"b+=+129+-+77.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+51.6 ALIGN=MIDDLE  ALT=\"b+=+51.6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "77.4 liters of the 40% solution and 51.6 liters<BR>\n" );
document.write( "of the 25% solution are needed<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.4a+%2B+.25b%29%2F129+=+.34 ALIGN=MIDDLE  ALT=\"%28.4a+%2B+.25b%29%2F129+=+.34\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.4%2A77.4+%2B+.25%2A51.6%29%2F129+=+.34 ALIGN=MIDDLE  ALT=\"%28.4%2A77.4+%2B+.25%2A51.6%29%2F129+=+.34\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can do the math to check answer\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" );