document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=409134>Question 409134</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many liters of a 50% acid solution must be mixed with 25% acid solution to get 250 L of a 40% acid solution?\r<BR>\n" );
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document.write( "And can you guide me step by step. I was a bit confused on how to get the answer.\r<BR>\n" );
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document.write( "I know Mixture:amount x concentrate <BR>\n" );
document.write( "and the table, but putting it all together is confusing me </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #288070 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=288070\">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 25% solution needed<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+=+250 ALIGN=MIDDLE  ALT=\"a+%2B+b+=+250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.5a+%2B+.25b ALIGN=MIDDLE  ALT=\".5a+%2B+.25b\"   DISABLED_style= \"max-width:90%; height:auto;\" > = liters of salt in final solution<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "In words:<BR>\n" );
document.write( "(liters of salt) / (liters of total solution) = 40%<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.5a+%2B+.25b%29+%2F+250+=+.4 ALIGN=MIDDLE  ALT=\"%28.5a+%2B+.25b%29+%2F+250+=+.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.5a+%2B+.25b+=+.4%2A250 ALIGN=MIDDLE  ALT=\".5a+%2B+.25b+=+.4%2A250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.5a+%2B+.25b+=+100 ALIGN=MIDDLE  ALT=\".5a+%2B+.25b+=+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=50a+%2B+25b+=+10000 ALIGN=MIDDLE  ALT=\"50a+%2B+25b+=+10000\"   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;\" >, and<BR>\n" );
document.write( "subtract from (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50a+%2B+25b+=+10000 ALIGN=MIDDLE  ALT=\"50a+%2B+25b+=+10000\"   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+=+-6250 ALIGN=MIDDLE  ALT=\"-25a+-+25b+=+-6250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25a+=+3750 ALIGN=MIDDLE  ALT=\"25a+=+3750\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+150 ALIGN=MIDDLE  ALT=\"a+=+150\"   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+=+250 ALIGN=MIDDLE  ALT=\"a+%2B+b+=+250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+250+-+150 ALIGN=MIDDLE  ALT=\"b+=+250+-+150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+100 ALIGN=MIDDLE  ALT=\"b+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "150 liters of 50% solution and 100 liters of 25% solution are needed<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.5a+%2B+.25b%29+%2F+250+=+.4 ALIGN=MIDDLE  ALT=\"%28.5a+%2B+.25b%29+%2F+250+=+.4\"   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%2A150+%2B+.25%2A100%29+%2F+250+=+.4 ALIGN=MIDDLE  ALT=\"%28.5%2A150+%2B+.25%2A100%29+%2F+250+=+.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2875+%2B+25%29%2F250+=+.4 ALIGN=MIDDLE  ALT=\"%2875+%2B+25%29%2F250+=+.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100+=+.4%2A250 ALIGN=MIDDLE  ALT=\"100+=+.4%2A250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100+=+100 ALIGN=MIDDLE  ALT=\"100+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );