document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=899724>Question 899724</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A chemist mixes hydrochloric acid solution of 50% strength and 40% strength to get 500 kg of hydrochloric acid solution of 46%. How many kilograms of the 50% solution are used?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #545572 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39625)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=545572\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the percents are mass per mass, then form equations:\r<BR>\n" );
document.write( "\n" );
document.write( "Let u = mass of the 40% acid in kilograms<BR>\n" );
document.write( "Let v = mass of the 50% acid in kilograms\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2850v%2B40u%29%2F500=46 ALIGN=MIDDLE  ALT=\"%2850v%2B40u%29%2F500=46\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%2Bv=500 ALIGN=MIDDLE  ALT=\"u%2Bv=500\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Simplify the first equation, and then solve the system. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );