document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=988590>Question 988590</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A 20% dye solution is to be mixed with a 90% dye solution to get 140 liters of a 50% solution. How many liters of the 20% and 90% solutions will be needed? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #609103 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=609103\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "x=amount of 20% solution; y=amount of 90% solution=140L-x<BR>\n" );
document.write( ".<BR>\n" );
document.write( "0.20x+0.90y=0.50(140L)<BR>\n" );
document.write( "0.20x+0.90(140L-x)=0.50(140L)<BR>\n" );
document.write( "0.20x+126L-0.90x=70L<BR>\n" );
document.write( "-0.70x=-56L<BR>\n" );
document.write( "x=80L<BR>\n" );
document.write( "ANSWER 1: 80 liters of 20% solution will be needed.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "y=140L-x=140L-80L=60L<BR>\n" );
document.write( "ANSWER 2: 60 liters of 90% solution will be needed.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "0.20x+0.90y=0.50(140L) <BR>\n" );
document.write( "0.20(80L)+0.90(60L)=0.50(140L)<BR>\n" );
document.write( "16L+54L=70L<BR>\n" );
document.write( "70L=70L </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );