document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=914994>Question 914994</A>: <I><SPAN STYLE=\"word-break: break-all;\"> James needs to mix a 10% alcohol solution with a 40% alcohol solution to create 100 milliliters of a 37% solution. How many milliliters of each solution must James use? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #555386 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=555386\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We need a total of 100 mL at 37%<BR>\n" );
document.write( "We want to know how many mL at 10% to mix with 40%<BR>\n" );
document.write( "a+b=100,<BR>\n" );
document.write( "0.1*a+0.4*b=0.37*100<BR>\n" );
document.write( "a=100-b<BR>\n" );
document.write( "0.1*(100-b)+0.4*b=37<BR>\n" );
document.write( "10-0.1b+0.4*b=37<BR>\n" );
document.write( "0.3*b=27<BR>\n" );
document.write( "b=90<BR>\n" );
document.write( "a=100-b<BR>\n" );
document.write( "a=10 mL at 10%<BR>\n" );
document.write( "b=90 mL at 40%<BR>\n" );
document.write( "check<BR>\n" );
document.write( "0.1*10+0.4*90=0.37*100<BR>\n" );
document.write( "1+36=37<BR>\n" );
document.write( "37=37<BR>\n" );
document.write( "ok<BR>\n" );
document.write( "codemx1<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );