document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=906376>Question 906376</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What quantity of 70% acid solution must be mixed with a 30 solution to produce 960 mL of a 50% solution?<BR>\n" );
document.write( "Please help me! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #549781 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=549781\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The other tutor Alan is correct. He knows some neat shortcuts.<BR>\n" );
document.write( "Here is the proof.<BR>\n" );
document.write( "a+b=960,<BR>\n" );
document.write( "0.7*a+0.3*b=0.5*960<BR>\n" );
document.write( "a=960-b<BR>\n" );
document.write( "0.7*(960-b)+0.3*b=480<BR>\n" );
document.write( "672-0.7b+0.3*b=480<BR>\n" );
document.write( "-0.4*b=-192<BR>\n" );
document.write( "b=480<BR>\n" );
document.write( "a=960-b<BR>\n" );
document.write( "a=480 mL at 0.7% b=480 mL at 0.3%<BR>\n" );
document.write( "check<BR>\n" );
document.write( "0.7*480+0.3*480=0.5*960<BR>\n" );
document.write( "336+144=480<BR>\n" );
document.write( "480=480<BR>\n" );
document.write( "ok<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );