document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=641384>Question 641384</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A vat contains 27 gallons of water and 9 gallons of acetic acid. How many gallons of water must be evaporated if the resulting solution is to be 40% acetic acid? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #403656 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=403656\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=amount of water that needs to be evaporated in order to get a solution that is 40% acetic acid<BR>\n" );
document.write( "Initially the vat contains 27+9=36 gal of a solution of which 9 gal is pure acetic acid(9/36 =1/4 or 25% acetic acid)\r<BR>\n" );
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document.write( "Now we know that he amount of pure acetic acid that exists before the evaporation takes place (0.25*36=9 gal) has to equal the amount of pure acetic acid that exists after x amount of water is evaporated (0.40(36-x)). Soooooo<BR>\n" );
document.write( "9=0.40(36-x) simplify<BR>\n" );
document.write( "9=14.4-0.40x subtract 14.4 from each side<BR>\n" );
document.write( "-5.4=-0.40x<BR>\n" );
document.write( "x=13.5 gal--amount of water that needs to be evaporated\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "9=0.40(36-13.5)=0.40*22.5<BR>\n" );
document.write( "9=9\r<BR>\n" );
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document.write( "Hope this helps---ptaylor<BR>\n" );
document.write( " </SPAN>\n" );
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