document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1141587>Question 1141587</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Alan wishes to dilute a mixture that is 10% alcohol to one that is 8% alcohol. How much 5% alcohol mixture should he add to 8 L of the 10% mixture? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #762167 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=762167\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "(1) Using the standard algebraic approach....<br><BR>\n" );
document.write( "8 L of 10%, plus x L of 5%, equals 8% of (8+x) L:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.10%288%29%2B.05%28x%29+=+.08%288%2Bx%29 ALIGN=MIDDLE  ALT=\".10%288%29%2B.05%28x%29+=+.08%288%2Bx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.8%2B.05x+=+.64%2B.08x ALIGN=MIDDLE  ALT=\".8%2B.05x+=+.64%2B.08x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.16+=+.03x ALIGN=MIDDLE  ALT=\".16+=+.03x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+.16%2F.03+=+16%2F3 ALIGN=MIDDLE  ALT=\"x+=+.16%2F.03+=+16%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: 16/3 L, or 5 1/3 L<br><BR>\n" );
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document.write( "A completely different method -- faster and easier, if you understand it....<br><BR>\n" );
document.write( "You are going from 10% towards 5%; you are stopping at 8%.<br><BR>\n" );
document.write( "8 is 2/5 of the way from 10 to 5.  (10-8=2; 10-5=5)<br><BR>\n" );
document.write( "That means 2/5 of the mixture is what you are adding; that means 3/5 of the mixture is what you started with; that means the amount you need to add is (2/5)/(3/5) = 2/3 of the amount you started with.<br><BR>\n" );
document.write( "ANSWER: (2/3)*8 = 16/3 L </SPAN>\n" );
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