document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1159320>Question 1159320</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jotham needs 70 liters of a 50% alcohol solution. He has a 30% solution and an 80% solution available. How many liters of the 30% solution and how many liters of the 80% solution should he mix to make the 50% solution? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #782306 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=782306\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Jotham needs 70 liters of a 50% alcohol solution. He has a 30% solution and an 80% solution available. How many liters of the 30% solution and how many liters of the 80% solution should he mix to make the 50% solution?<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "t = amount of 30%<BR>\n" );
document.write( "e = amount of 80%<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "t + e = 70 ----- total solution<BR>\n" );
document.write( "0.3t + 0.8e = 0.5*70 ---- total alcohol<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "3t + 8e = 350<BR>\n" );
document.write( "3t + 3e = 210<BR>\n" );
document.write( "-------------------- Subtract<BR>\n" );
document.write( "5e = 140<BR>\n" );
document.write( "e = 28 liters<BR>\n" );
document.write( "t = 42 liters\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );