document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1169472>Question 1169472</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how many ml of pure alcohol and how many ml of 4% alcohol solution must be combined to make up 480 ml of an 8% alcohol solution? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #794250 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=794250\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Here is a quick and easy alternative to the standard algebraic solution method shown by the other tutors.  It can be used on any of a wide number of different types of 2-part mixture problems.<br><BR>\n" );
document.write( "Picture the problem as starting with some 4% alcohol and adding some 100% alcohol, stopping when the mixture is 8% alcohol.<br><BR>\n" );
document.write( "In stopping at 8%, what fraction of the way from 4% to 100% did you go?<br><BR>\n" );
document.write( "Picturing the three percentages on a number line, observe that 8 is 4/96 = 1/24 of the way from 4 to 100.<br><BR>\n" );
document.write( "That means 1/24 of the total mixture is the 100% alcohol.<br><BR>\n" );
document.write( "ANSWER: 1/24 of the total 480ml, or 20ml, is the 100% alcohol; the other 460ml is the 4% alcohol.<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "20(1.00)+460(0.04) = 20+18.4 = 38.4<BR>\n" );
document.write( "480(0.08) = 38.4<br><BR>\n" );
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