document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=660804>Question 660804</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this problem. A chemist has two solutions of HNO3. One has 40% concentration and the other has 25% concentration. How many liters of each solution must be mixed to ob tain 57 liters of a 26% solution? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #411364 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=411364\">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 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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.4a+ ALIGN=MIDDLE  ALT=\"+.4a+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = liters of HN03 in 40% solution<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.25b+ ALIGN=MIDDLE  ALT=\"+.25b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = liters of HN03 in 25% solution<BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+.4a+%2B+.25b+%29+%2F+57+=+.26+ ALIGN=MIDDLE  ALT=\"+%28+.4a+%2B+.25b+%29+%2F+57+=+.26+\"   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+=+57+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+57+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.4a+%2B+.25b+=+.26%2A57+ ALIGN=MIDDLE  ALT=\"+.4a+%2B+.25b+=+.26%2A57+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.4a+%2B+.25b+=+14.82+ ALIGN=MIDDLE  ALT=\"+.4a+%2B+.25b+=+14.82+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+40a+%2B+25b+=+1482+ ALIGN=MIDDLE  ALT=\"+40a+%2B+25b+=+1482+\"   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=+25+ ALIGN=MIDDLE  ALT=\"+25+\"   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=+40a+%2B+25b+=+1482+ ALIGN=MIDDLE  ALT=\"+40a+%2B+25b+=+1482+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-25a+-+25b+=+-1425+ ALIGN=MIDDLE  ALT=\"+-25a+-+25b+=+-1425+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+15a+=+57+ ALIGN=MIDDLE  ALT=\"+15a+=+57+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+3.8+ ALIGN=MIDDLE  ALT=\"+a+=+3.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, since<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+57+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+57+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3.8+%2B+b+=+57+ ALIGN=MIDDLE  ALT=\"+3.8+%2B+b+=+57+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+53.2+ ALIGN=MIDDLE  ALT=\"+b+=+53.2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3.8 liters of 40% solution are needed<BR>\n" );
document.write( "53.2 liters of 25% solution are needed<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+.4a+%2B+.25b+%29+%2F+57+=+.26+ ALIGN=MIDDLE  ALT=\"+%28+.4a+%2B+.25b+%29+%2F+57+=+.26+\"   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+.4%2A3.8+%2B+.25%2A53.2+%29+%2F+57+=+.26+ ALIGN=MIDDLE  ALT=\"+%28+.4%2A3.8+%2B+.25%2A53.2+%29+%2F+57+=+.26+\"   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+1.52+%2B+13.3+%29+%2F+57+=+.26+ ALIGN=MIDDLE  ALT=\"+%28+1.52+%2B+13.3+%29+%2F+57+=+.26+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+14.82+=+.26%2A57+ ALIGN=MIDDLE  ALT=\"+14.82+=+.26%2A57+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+14.82+=+14.82+ ALIGN=MIDDLE  ALT=\"+14.82+=+14.82+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );