document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=275411>Question 275411</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a chemistry class, 6 liters of 4% silver iodide solution must be mixed with 10% solution to get a 6% solution.  How many liters of 10% solution are needed? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #854120 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3835)</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=854120\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Tutor mananth made an error when writing 0.04x as it should be 0.04*6 instead.<BR>\n" );
document.write( "Solving 0.04*6+0.1x = 0.06*(x+6) leads to x = 3 as tutor ikleyn has shown, and as I show below.\r<BR>\n" );
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document.write( "Tutor josgarithmetic made an error on the last step. It should be 6*(0.06-0.04)/(0.1-0.06)<BR>\n" );
document.write( "The \"1\" should be \"0.1\" instead<BR>\n" );
document.write( "That expression evaluates to 3.<BR>\n" );
document.write( "I think it's beneficial to simplify along the way to avoid a sea of numbers. \r<BR>\n" );
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document.write( "Here's how I would solve the problem.\r<BR>\n" );
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document.write( "x = amount of the 10% solution in liters\r<BR>\n" );
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document.write( "We have 6 liters of the 4% solution.<BR>\n" );
document.write( "That contributes 0.04*6 = 0.24 liters of pure silver so far.\r<BR>\n" );
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document.write( "We add x liters of the 10% solution.<BR>\n" );
document.write( "So we add 0.1x liters of pure silver to get 0.24+0.1x liters of pure silver total.\r<BR>\n" );
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document.write( "This is out of 6+x liters of solution of silver and other elements.\r<BR>\n" );
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document.write( "(amount of pure silver)/(amount of solution) = 6% goal<BR>\n" );
document.write( "(0.24+0.1x)/(6+x) = 0.06<BR>\n" );
document.write( "0.24+0.1x = 0.06(6+x)<BR>\n" );
document.write( "0.24+0.1x = 0.36+0.06x<BR>\n" );
document.write( "0.1x-0.06x = 0.36-0.24<BR>\n" );
document.write( "0.04x = 0.12<BR>\n" );
document.write( "x = 0.12/0.04<BR>\n" );
document.write( "<font color=red>x = 3</font>\r<BR>\n" );
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document.write( "Answer: <font color=red>3 liters</font><BR>\n" );
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