document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=159495>Question 159495</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A vat contains 450 gallons of 30% alcohol solution, but the manufacturer wants a 42.6% alcohol solution. How much solution must be drained and replaced with pure alcohol to obtain the desired results? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #117598 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=117598\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">     A vat contains 450 gallons of 30% alcohol solution, but the manufacturer wants a 42.6% alcohol solution. How much solution must be drained and replaced with pure alcohol to obtain the desired results?<BR>\n" );
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document.write( "Let x = amount drained and replaced with pure alcohol<BR>\n" );
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document.write( "\"amount of alcohol added\" + \"amt of alcohol in original\" = \"desired mixture\"<BR>\n" );
document.write( "x + .30(450-x) = .426(450)<BR>\n" );
document.write( "x + 135 - .30x = 191.7<BR>\n" );
document.write( ".70x + 135 = 191.7<BR>\n" );
document.write( ".70x = 56.7<BR>\n" );
document.write( "x = 81 gallons </SPAN>\n" );
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