document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1142452>Question 1142452</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A chemist has two alcohol solutions of different strengths, 30% alcohol and 45% alcohol solutions respectively. how many cubic cm of each must be used so as to make a mixture of 30cc that will contain 39% alcohol? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #763186 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=763186\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = amount of 30% solution.<BR>\n" );
document.write( "y = amount of 45% solution.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x + y = 30<BR>\n" );
document.write( ".3 * x + .45 * y = .39 * 30\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in the first equation, solve for y to get y = 30 - x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in the second euation, replace y with 30 - x to get .3 * x + .45 * (30 - x) = .39 * 30.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "simplify to get .3 * x + 13.5 - .45 * x = 11.7.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "combine like terms and subtract 13.5 from both sides of the equation to get -.15 * x = -1.8\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "solve for x to get x = -1.8 / -.15 = 12\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y = 30 - x = 30 - 12 = 18.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you have x = 12 and y = 18.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x + y = 30<BR>\n" );
document.write( ".3 * x + .45 * y = .3 * 12 + .45 * 18 = 3.6 + 8.1 = 11.7.<BR>\n" );
document.write( "11.7 / 30 = .39\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "solution looks good.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "solution is 12 cc of 30% solution and 18 cc of 45% solution are combined to make 30 cc of 39% solution.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );