document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=254095>Question 254095</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Roman mixes 12 liters of 8% acid solution with a 20% acid solution, which results in a 16% acid solution.  Find the number of liters of 20% acid solution in the new mixture.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #186471 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=186471\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=the number of liters of the 20% solution in the new mixture<BR>\n" );
document.write( "Now we know that the amount of pure acid in the 8% solution (0.08*12) plus the amount of pure acid in the 20% solution (0.20x) has to equal the amount of pure acid in the new mixture (0.16(12+x)).  So our equation to solve is:<BR>\n" );
document.write( "0.08*12+0.20x=0.16(12+x)  get rid of parens and simplify<BR>\n" );
document.write( "0.96+0.20x=1.92+0.16x subtract 0.16x and also 0.96 from each side<BR>\n" );
document.write( "0.96-0.96+0.20x-0.16x=1.92-0.96+0.16x-0.16x collect like terms<BR>\n" );
document.write( "0.04x=0.96  divide each side by 0.04<BR>\n" );
document.write( "x=24 liters----------------------amount of 20% solution needed\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "0.08*12+0.20*24=0.16(12+24)<BR>\n" );
document.write( "0.96+4.8=5.76<BR>\n" );
document.write( "5.76=5.76\r<BR>\n" );
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document.write( "Hope this helps---ptaylor </SPAN>\n" );
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