document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=154167>Question 154167</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780534404109/algebrahomeworkh>college algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A liter of fluid is 50% alcohol. How much water must be added to dilute it to a 20% solution?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "my work: so x is the amount of water to be added.<BR>\n" );
document.write( "         so something + x should = .20?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #113475 by </B><A HREF=/tutors/aboutme.mpl?userid=orca><B>orca(409)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=orca><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=113475\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The following fact is used to set up the equation:<BR>\n" );
document.write( "The amount of the pure alcohol before mixing must be equal to the amount of the pure alcohol after mixing.<BR>\n" );
document.write( "So<BR>\n" );
document.write( "*****************************************************<BR>\n" );
document.write( "The solution before mixing: 1L of 50% solution<BR>\n" );
document.write( "The amount of alcohol before mixing is 50%*1<BR>\n" );
document.write( "*****************************************************<BR>\n" );
document.write( "The solution after mixing: 1+x liters of 20% solution<BR>\n" );
document.write( "The amount of alcohol after mixing is 20%*(1+x)<BR>\n" );
document.write( "*****************************************************\r<BR>\n" );
document.write( "\n" );
document.write( "So the equation is:<BR>\n" );
document.write( "50%*1 = 20%(1+x)\r<BR>\n" );
document.write( "\n" );
document.write( "Solving for x, we have<BR>\n" );
document.write( "50 = 20(1+x)   (multiply both sides by 100)<BR>\n" );
document.write( "50 = 20 + 20x<BR>\n" );
document.write( "30 = 20x<BR>\n" );
document.write( "30/20 = x<BR>\n" );
document.write( "1.5 = x\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );