document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=499339>Question 499339</A>: <I><SPAN STYLE=\"word-break: break-all;\">  what is the mass of a 1 cup of a 12% alcohol-water solution? <BR>\n" );
document.write( "10% solution is 0.98569 <BR>\n" );
document.write( "15% is  0.98024 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #337621 by </B><A HREF=/tutors/aboutme.mpl?userid=chessace><B>chessace(471)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=chessace><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=chessace><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=337621\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let DA = density (mass/vol) of Alcohol; DW = density of water<BR>\n" );
document.write( "Mass (density * volume): 0.1*DA + 0.9*DW = 0.98569<BR>\n" );
document.write( "0.15*DA + 0.85*DW = 0.98024<BR>\n" );
document.write( "0.12*DA + 0.88*DW = x<BR>\n" );
document.write( "3*DA + 27*DW = 30*0.98569<BR>\n" );
document.write( "3*DA + 17*DW = 20*0.98024<BR>\n" );
document.write( "10DW = 29.5707 - 19.6048 = 9.9659<BR>\n" );
document.write( "DW = 0.99659<BR>\n" );
document.write( "DA = 10 * (0.98569 - (0.9 * 0.99659))<BR>\n" );
document.write( "DA = 10 * (0.98569 - 0.896931)<BR>\n" );
document.write( "DA = 0.88759<BR>\n" );
document.write( "x = 0.12 * 0.88759 + 0.88 * 0.99659<BR>\n" );
document.write( "x = 0.1065108 + 0.8769992<BR>\n" );
document.write( "x = 0.98351<BR>\n" );
document.write( "Note that this is between the stronger and weaker solutions, and proportional so, thus the simpler approach would be weighted average:<BR>\n" );
document.write( "x = (3 * 0.98569 + 2 * 0.98024) / 5<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );