document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201492>Question 1201492</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How much water must be added to 5L of 8% weed killer mixture to make a 5% weed killer mixture? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #835877 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=835877\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Answer: <font color=red size=4>3 liters of water</font>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Explanation:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = amount of liters of pure water to add<BR>\n" );
document.write( "this is some positive real number\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I'll draw out a mixture table.<BR>\n" );
document.write( "The table is optional but it might help clear up confusion, and also keep things organized.<BR>\n" );
document.write( "<TABLE  border = \"1\" cellpadding = \"5\">\n" );
document.write( "<tr><TD ></TD><TD >Water</TD><TD >Weed Killer</TD><TD >Total</TD></tr><tr><TD >start</TD><TD >4.6</TD><TD >0.4</TD><TD >5</TD></tr><tr><TD >add</TD><TD >x</TD><TD >0</TD><TD >x</TD></tr><tr><TD >end</TD><TD >4.6+x</TD><TD >0.4</TD><TD >5+x</TD></tr>\n" );
document.write( "</TABLE><BR>\n" );
document.write( "The first row of the table is \"start\" to represent what we have at first: the 8% solution.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "8% of 5 = 0.08*5 = 0.4 liters of pure weed killer<BR>\n" );
document.write( "5-0.4 = 4.6 liters of water\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The second row is labeled \"add\" to represent the next mixture. In this case it's pure water. <BR>\n" );
document.write( "It's just water and nothing else.<BR>\n" );
document.write( "We have x liters of this and 0 liters of weed killer.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The \"water\" column adds to 4.6+x. Simply add straight down.<BR>\n" );
document.write( "The \"weed killer\" column adds to 0.4+0 = 0.4<BR>\n" );
document.write( "The totals add to 5+x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The final mix will have 0.4 liters of pure weed killer out of 5+x liters total solution (water+weed killer)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The ratio of these items must be 5% because want a 5% solution.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A = amount of pure weed killer = 0.4<BR>\n" );
document.write( "B = total amount of solution = 5+x<BR>\n" );
document.write( "A/B = 5% solution<BR>\n" );
document.write( "A/B = 0.05<BR>\n" );
document.write( "(0.4)/(5+x) = 0.05<BR>\n" );
document.write( "0.4 = 0.05*(5+x)<BR>\n" );
document.write( "0.4 = 0.25+0.05x<BR>\n" );
document.write( "0.4-0.25 = 0.05x<BR>\n" );
document.write( "0.15 = 0.05x<BR>\n" );
document.write( "0.05x = 0.15<BR>\n" );
document.write( "x = 0.15/0.05<BR>\n" );
document.write( "x = <font color=red>3</font><BR>\n" );
document.write( "We need to add <font color=red>3 liters</font> of pure water to achieve a 5% solution.<BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );