document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=242341>Question 242341</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how many liters of pure alcohol must be added to 5 liters of a 15% alcohol solution to make a 25% solution?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #177393 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=177393\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=amount of pure alcohol needed<BR>\n" );
document.write( "Now we know that the amount of pure alcohol added (x) plus the amount of pure alcohol in the 5 liters((0.15)*5) has to equal the amount of pure alcohol in the final mixture ((0.25)*(5+x)).  So our equation to solve is:<BR>\n" );
document.write( "x+0.15*5=0.25(5+x) get rid of parens and simplify<BR>\n" );
document.write( "x+0.75=1.25+0.25x subtract 0.25x and also 0.75 from each side<BR>\n" );
document.write( "x-0.25x+0.75-0.75=1.25-0.75+0.25x-0.25x  collect like terms<BR>\n" );
document.write( "0.75x=0.50  divide each side by 0.75<BR>\n" );
document.write( "x=2/3 liter------------amount of pure alcohol needed<BR>\n" );
document.write( "CK<BR>\n" );
document.write( "Now we'll deal in fractions<BR>\n" );
document.write( "pure alcohol before they are mixed=pure alcohol after they are mixed<BR>\n" );
document.write( "2/3 + 3/4 =(1/4)(5+2/3)<BR>\n" );
document.write( "8/12 + 9/12=(1/4)(17/3)<BR>\n" );
document.write( "17/12 = 17/12\r<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps---ptaylor </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );