document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=841575>Question 841575</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many liters of 6% acid solution must be added to 12 L of a 10% acid solution to make a solution which is 9% acid? \r<BR>\n" );
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document.write( "I know that the( # of liters of acid from the weak soultions ) + ( the # of liters of acid from the strong solution ) = ) the liters of acid I'm the mix solution ) \r<BR>\n" );
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document.write( "I just don't know how to set up the equation. .  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #507003 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=507003\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x equal the number of liters of 6% solution and let y equal the number of liters of the 9% solution.\r<BR>\n" );
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document.write( "the equation should be:\r<BR>\n" );
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document.write( ".06x + .10*12 = .09*y\r<BR>\n" );
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document.write( "Since x + 12 will be equal to y, you can replace y with x + 12 to get:\r<BR>\n" );
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document.write( ".06x + .10*12 = .09*(x+12)\r<BR>\n" );
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document.write( "now you just solve for x.\r<BR>\n" );
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document.write( "start with:<BR>\n" );
document.write( ".06x + .10*12 = .09*(x+12)<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( ".06x + 1.2 = .09x + .09*12<BR>\n" );
document.write( "simplify further to get:<BR>\n" );
document.write( ".06x + 1.2 = .09x + 1.08<BR>\n" );
document.write( "subtract .06x from both sides of this equation and subtract 1.08 from both sides of this equation to get:<BR>\n" );
document.write( "1.2 - 1.08 = .09x - .06x<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( ".12 = .03x<BR>\n" );
document.write( "divide both sides of this equation by .03 to get:<BR>\n" );
document.write( ".12/.03 = x which simplifies to x = 4\r<BR>\n" );
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document.write( "your answer should be x = 4<BR>\n" );
document.write( "this means you mix 4 liters of 6% solution with 12 liters of 10% solution to get 16 liters of 9% solution.<BR>\n" );
document.write( ".06*4 = .24<BR>\n" );
document.write( ".10*12 = 1.2<BR>\n" );
document.write( "add them together to get 1.44 liters of acid.<BR>\n" );
document.write( "divide 1.44 by 16 liters total solution to get .09.<BR>\n" );
document.write( "that's your solution.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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