document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=511886>Question 511886</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many liters of a 40% and 80% acids must be mixed in order to make 20 liters of a 55% acid solution?\r<BR>\n" );
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document.write( "A 12 liter mixture is 60% alcohol. if 8 liters of a 25% alcohol mixture are added, what percent mixture will be formed.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #342566 by </B><A HREF=/tutors/aboutme.mpl?userid=Maths68><B>Maths68(1474)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Maths68><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=Maths68><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=342566\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1)<BR>\n" );
document.write( "How many liters of a 40% and 80% acids must be mixed in order to make 20 liters of a 55% acid solution? \r<BR>\n" );
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document.write( "Solution A<BR>\n" );
document.write( "Amount = x <BR>\n" );
document.write( "Concentration =40% = 0.4\r<BR>\n" );
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document.write( "Solution B<BR>\n" );
document.write( "Amount = 20-x <BR>\n" );
document.write( "Concentration =80% = 0.8\r<BR>\n" );
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document.write( "Resultant Solution<BR>\n" );
document.write( "Amount =20 <BR>\n" );
document.write( "Concentration =55%=0.55\r<BR>\n" );
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document.write( "[Amount Solution A * Concentration A] + [Amount Solution B * Concentration of B] = Amount of Resultant * Concentration of resultant\r<BR>\n" );
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document.write( "(0.4)x+(0.8)(20-x)=(20)(0.55)<BR>\n" );
document.write( "0.4x+16-0.8x=11<BR>\n" );
document.write( "0.4x-0.8x=11-16<BR>\n" );
document.write( "-0.4x=-5<BR>\n" );
document.write( "-0.4x/-0.4=-5/-0.4<BR>\n" );
document.write( "x=12.5\r<BR>\n" );
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document.write( "Solution A<BR>\n" );
document.write( "Amount = x =12.5 liters <BR>\n" );
document.write( "Concentration =40% = 0.4\r<BR>\n" );
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document.write( "Solution B<BR>\n" );
document.write( "Amount = 20-x =20-12.5=7.5 liters<BR>\n" );
document.write( "Concentration =80% = 0.8\r<BR>\n" );
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document.write( "Result<BR>\n" );
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document.write( "12.5  liters of a 40% and 7.5 liters of 80% acids must be mixed in order to make 20 liters of a 55% acid solution<BR>\n" );
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document.write( "(2)<BR>\n" );
document.write( "A 12 liter mixture is 60% alcohol. if 8 liters of a 25% alcohol mixture are added, what percent mixture will be formed.\r<BR>\n" );
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document.write( "Solution A<BR>\n" );
document.write( "Amount =12 liters<BR>\n" );
document.write( "Concentration =60% = 0.6\r<BR>\n" );
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document.write( "Solution B<BR>\n" );
document.write( "Amount = 8 liters <BR>\n" );
document.write( "Concentration =25% = 0.25\r<BR>\n" );
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document.write( "Resultant Solution<BR>\n" );
document.write( "Amount =(8+12)=20 liters<BR>\n" );
document.write( "Concentration =x\r<BR>\n" );
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document.write( "[Amount Solution A * Concentration A] + [Amount Solution B * Concentration of B] = Amount of Resultant * Concentration of resultant<BR>\n" );
document.write( "(12*0.6)+(8)(0.25)=20x<BR>\n" );
document.write( "7.2+2=20x<BR>\n" );
document.write( "9.2=20x<BR>\n" );
document.write( "9.2/20=20x/20<BR>\n" );
document.write( "0.46=x<BR>\n" );
document.write( "x=0.46<BR>\n" );
document.write( "x=46/100= 46%\r<BR>\n" );
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document.write( "Result<BR>\n" );
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document.write( "If we add  12 liter 60% alcohol solution to  8 liters of a 25% alcohol solution, a  mixture of 20 liters of 46% alcohol will be formed.<BR>\n" );
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