document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=79617>Question 79617</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Not in book\r<BR>\n" );
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document.write( "A mixture of 10% acid and 90% water is added to 5 liters of pure acid. The final mixture is 40% water. How many liters of water are in the final mixture? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #57154 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=57154\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let x=number of liters of acid/water mixture added to the 5 liters of pure acid.\r<BR>\n" );
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document.write( "Then0.90x=amount of pure water added to the 5 liters of pure acid\r<BR>\n" );
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document.write( "Now we know that the amount of pure water added to the 5 liters of pure acid equals the amount of pure water in the final mixture.  So our equation to solve is:\r<BR>\n" );
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document.write( "0.90x=0.40(5+x)  get rid of parens\r<BR>\n" );
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document.write( "0.90x=2+0.40x  subtract 0.40x from each side\r<BR>\n" );
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document.write( "0.90x-0.40x=2+0.40x-0.40x  collect like terms\r<BR>\n" );
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document.write( "0.50x=2  divide both sides by 0.50\r<BR>\n" );
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document.write( "x=4 liters------------------amount of mixture added to the pure acid\r<BR>\n" );
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document.write( "0.90x=0.90*4=3.6 liters---------------------amount of pure water in final mixture\r<BR>\n" );
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document.write( "CK.\r<BR>\n" );
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document.write( "0.40(5+4)=3.6\r<BR>\n" );
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document.write( "3.6=3.6\r<BR>\n" );
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document.write( "Hope this helps----ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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