document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182358>Question 1182358</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many ounces of a 40% alcohol solution must be mixed with 12 ounces of a 45% alcohol solution to make a 43% 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 #812367 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=812367\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Here is a non-algebraic method for solving any two-part mixture problem like this.  If your mental math is good, you will get to the answer much faster than with formal algebra.<br><BR>\n" );
document.write( "You are starting with some 45% alcohol and adding some 40% alcohol to get 43% alcohol.<br><BR>\n" );
document.write( "Picture that as starting at 45 on a number line and walking towards 40, stopping when you get to 43.<br><BR>\n" );
document.write( "From 45 to 40 is a distance of 5; from 45 to 43 is a distance of 2; so when you stop at 43 you have walked 2/5 of the way from 45 to 40.<br><BR>\n" );
document.write( "That means 2/5 of the mixture is what you are adding.<br><BR>\n" );
document.write( "So the 12 ounces of 45% alcohol you started with is 3/5 of the mixture; since 3/5 of the mixture is 12 ounces, 2/5 of the mixture is 8 ounces.<br><BR>\n" );
document.write( "ANSWER: 8 ounces<br><BR>\n" );
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