document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5494>Question 5494</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solution A is 8% acid and Solution B is 4% acid. If a technician wants to mix them to make 150 liters of Solution C which is 6% acid, how many liters of each should be mixed together?<BR>\n" );
document.write( " thanks for the help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2854 by </B><A HREF=/tutors/aboutme.mpl?userid=Abbey><B>Abbey(339)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Abbey><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=2854\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let A=volume (quantity) of 8% acid<BR>\n" );
document.write( "Let B=volume of 4% solution<BR>\n" );
document.write( "Amount of acid in the 8% solution is 8% of the volume, or .08A<BR>\n" );
document.write( "Amount of acid in the 4% solution is 4% of the volume, or .04B\r<BR>\n" );
document.write( "\n" );
document.write( "So if we want a total of 150 gallons we can say:<BR>\n" );
document.write( "the volume of A + the volume of B = 150 gallons, or <BR>\n" );
document.write( "A+B=150<BR>\n" );
document.write( "this can be rewritten as A=150-B\r<BR>\n" );
document.write( "\n" );
document.write( "and the amount of acid we want is .06(150) (6% of the 150 gallons should be acid)\r<BR>\n" );
document.write( "\n" );
document.write( "so we can create an equation that states:<BR>\n" );
document.write( ",08A+.04B=.06(150)\r<BR>\n" );
document.write( "\n" );
document.write( "and since we know that A=150-B, we can substitute this into our equation:<BR>\n" );
document.write( ",08A+.04B=.06(150)<BR>\n" );
document.write( ",08(150-B)+.04B=.06(150)<BR>\n" );
document.write( "Then just solve for B:<BR>\n" );
document.write( "12-.08B+.04B=9<BR>\n" );
document.write( "12-.04B=9<BR>\n" );
document.write( "12=9+.04B<BR>\n" );
document.write( "3=.04B<BR>\n" );
document.write( "75=B\r<BR>\n" );
document.write( "\n" );
document.write( "We need 75 gallons of solution B, so we need 75 gallons of solution A\r<BR>\n" );
document.write( "\n" );
document.write( "put these answers into your equations to verify:<BR>\n" );
document.write( ",08(75)+.04(75)=.06(150)<BR>\n" );
document.write( "This is a true statement, so the answer is correct.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );