document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=863134>Question 863134</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi! I need help on this word problem <BR>\n" );
document.write( "A chemist needs 12 liters of a 25% acid solution. The solution is to be mixed from three solutions whose concentrations are 10%, 20%, and 50%. How many liters of each solution will satisfy each condition?<BR>\n" );
document.write( "(a) Use 4 liters of the 50% solution.<BR>\n" );
document.write( "10% solution =___L<BR>\n" );
document.write( "20% solution =___L  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #520232 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=520232\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A chemist needs 12 liters of a 25% acid solution.<BR>\n" );
document.write( " The solution is to be mixed from three solutions whose concentrations are 10%, 20%, and 50%.<BR>\n" );
document.write( " How many liters of each solution will satisfy each condition?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(a) Use 4 liters of the 50% solution.<BR>\n" );
document.write( "10% solution =___L<BR>\n" );
document.write( "20% solution =___L <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let a = amt to 10% solution<BR>\n" );
document.write( "Let b = amt of 20% solution<BR>\n" );
document.write( "the equation<BR>\n" );
document.write( ".50(4) + .10a + .20b = .25(12)<BR>\n" );
document.write( "2 + .10a + .20b = 3<BR>\n" );
document.write( ".10a + .20b = 3 - 2<BR>\n" );
document.write( ".10a + .20b = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "we know that a + b = 12 - 4<BR>\n" );
document.write( "a + b = 8<BR>\n" );
document.write( "a = (8-b)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Replace a with (8-b)<BR>\n" );
document.write( ".10(8-b) + .20b = 1<BR>\n" );
document.write( ".8 - .1b + .2b = 1<BR>\n" );
document.write( ".1b = 1 - .8<BR>\n" );
document.write( ".1b = .2<BR>\n" );
document.write( "b = .2/.1<BR>\n" );
document.write( "b = 2 liters of the 20% solution<BR>\n" );
document.write( "then<BR>\n" );
document.write( "8-2 = 6 liters of the 10% solution<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if that checks out<BR>\n" );
document.write( ".50(4) + .10(6) + .20(2) = .25(12)<BR>\n" );
document.write( "2 + .6 + .4 = 3 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );