document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1034619>Question 1034619</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Hi, the pharmacist gives me a 1.5 liter bottle of 20% solution and asks me to mix with water to make as much 12% solution as possible. How much water will I use? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #649265 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=649265\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you have 1.5 liters of a liquid that contains 20% solution.<BR>\n" );
document.write( "the amount of solution in the liquid is equal to .2 * 1.5 = .3 liters of solution.<BR>\n" );
document.write( "you want to add enough liquid to make a 12% solution.<BR>\n" );
document.write( "the new solution will have x liters of liquid.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your formula becomes .3/x = .12<BR>\n" );
document.write( "this formula says that .3 liters of solution divided by x liters of liquid = a ratio of .12 which is equal to 12%.<BR>\n" );
document.write( "solve for x to get x = .3/.12 = 2.5 liters.<BR>\n" );
document.write( "your new 12% solution will be 2.5 liters.<BR>\n" );
document.write( "since the original 20% solution has 1.5 liters, you added 1 liter of liquid.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you could also have solved this as follows:<BR>\n" );
document.write( "you have 20% solution in 1.5 liters of liquid.<BR>\n" );
document.write( "the number of liters of solution is equal to .2 * 1.5 = .3 liters of solution.<BR>\n" );
document.write( "you want to add x liters of 0% solution to this to get a new solution that is 12% solution.<BR>\n" );
document.write( "this new solution will contain 1.5 + x liters of liquid.<BR>\n" );
document.write( "your formula becomes:<BR>\n" );
document.write( ".2 * 1.5 + .0 * x = .12 * (1.5 + x)<BR>\n" );
document.write( "simplify this equation to get .3 = .18 + .12 * x<BR>\n" );
document.write( "subtract .18 from both sides of this equation to get .12 = .12 * x<BR>\n" );
document.write( "divide both sides of this equation by .12 to get .12/.12 = x<BR>\n" );
document.write( "solve for x to get x = 1.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you get the same answer either way.<BR>\n" );
document.write( "you add 1 liter of 0% solution to 1.5 liters of 20% solution to get 2.5 liters of 12% solution.<BR>\n" );
document.write( "in this problem, water is the 0% solution that you added.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );