document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=962703>Question 962703</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A chemist wants to mix three different solutions to create 100 milliliters of a solution that is 13.5% alcohol.Solution A is 10% alcohol, solution B is 15% alcohol and solution C is 30% alcohol. The amount of solution A that is used must be twice the amount of solution B that is used.How many milliliters of each solution should be the chemist combine?\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you for your help!God Bless... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #588216 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=588216\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let a = amt of 10%<BR>\n" );
document.write( "let b = amt of 15%<BR>\n" );
document.write( "let c = amt of 30%<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A chemist wants to mix three different solutions to create 100 milliliters of a solution that is 13.5% alcohol.<BR>\n" );
document.write( "Solution A is 10% alcohol, <BR>\n" );
document.write( "solution B is 15% alcohol and <BR>\n" );
document.write( "solution C is 30% alcohol. <BR>\n" );
document.write( "The amount of solution A that is used must be twice the amount of solution B that is used.<BR>\n" );
document.write( "a = 2b<BR>\n" );
document.write( "a + b + c = 100<BR>\n" );
document.write( "replace a with 2b<BR>\n" );
document.write( "2b + b + c = 100<BR>\n" );
document.write( "3b + c = 100<BR>\n" );
document.write( "then<BR>\n" );
document.write( "c = (-3b+100)<BR>\n" );
document.write( "the mixture equation<BR>\n" );
document.write( ".10a + .15b + .30c = .135(100)<BR>\n" );
document.write( "replace a with 2b, replace c with (-3b+100)<BR>\n" );
document.write( ".10(2b) + .15b + .30(-3b+100) = 13.5<BR>\n" );
document.write( ".20b + .15b - .90b + 30 = 13.5<BR>\n" );
document.write( "-.55b = 13.5 - 30<BR>\n" );
document.write( "-.55b = -16.5<BR>\n" );
document.write( "b = -16.5/-.55<BR>\n" );
document.write( "b = + 30 ml of 15% solution<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2(30) = 60 ml of 10% solution<BR>\n" );
document.write( "and<BR>\n" );
document.write( "100-30-60 = 10 ml of 30% solution<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Confirm this, see if:<BR>\n" );
document.write( ".10(60) + .15(30) + .30(10) = .135(100) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );