document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=231929>Question 231929</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A solution containing 30% alcohol is to be mixed with a solution containing 50%<BR>\n" );
document.write( "alcohol to make 200 L of a solution containing 42% alcohol. How much of the 50%<BR>\n" );
document.write( "solution should be used? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #171505 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=171505\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A solution containing 30% alcohol is to be mixed with a solution containing 50%<BR>\n" );
document.write( "alcohol to make 200 L of a solution containing 42% alcohol. How much of the 50%<BR>\n" );
document.write( "solution should be used?<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "alcohol + alcohol = alcohol<BR>\n" );
document.write( "0.30x + 0.50(200-x) = 0.42*200<BR>\n" );
document.write( "Multiply thru by 100 to get:<BR>\n" );
document.write( "30x + 50*200 - 50x = 42*200<BR>\n" );
document.write( "-20x = -8*200<BR>\n" );
document.write( "x = 80 liters (amount of 30% solution needed in the mixture)<BR>\n" );
document.write( "==================================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );