document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=969598>Question 969598</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ten liters of a 4% acid solution must be mixed with a 10% solution to get a 6% solution.  How many liters of the 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 #592422 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=592422\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5 liters ANSWER\r<BR>\n" );
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document.write( "Let x=liters of 10% solution.\r<BR>\n" );
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document.write( "10 liters * 0.04 (4%)acid= 0.4 acid-liters  (it's a strange unit, but stay with me)\r<BR>\n" );
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document.write( "x liters * 0.10 (10%) acid= 0.1x acid-liters\r<BR>\n" );
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document.write( "I want a 6% solution (.06 acid) amount  is 10+x liters (10 from 4%, x from 10%)\r<BR>\n" );
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document.write( "(10+x) liters *.06%=0.06(10-x) acid-liters\r<BR>\n" );
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document.write( "Let's distribute that to get 0.6-0.06 x\r<BR>\n" );
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document.write( "Now add the first two solutions and let them equal the third\r<BR>\n" );
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document.write( "0.4 a-l +0.1x a-l=0.6 a-l-0.06x a-l\r<BR>\n" );
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document.write( "subtract 0.4 a-l from each side\r<BR>\n" );
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document.write( "0.1 x a-l=0.2 a-l +0.06x a-l<BR>\n" );
document.write( "Subtract 0.06 a-l from each side\r<BR>\n" );
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document.write( "0.04x a-l=0.2 a-l<BR>\n" );
document.write( "divide by 0.04  the units are acid only, so we will be left with liters as the units, which is what we want.\r<BR>\n" );
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document.write( "x=5 liters.\r<BR>\n" );
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document.write( "Let's see if this works<BR>\n" );
document.write( "10 *(0.04) + 5 (.10)=.4 +.5=0.9    I am multiplying liters times per cent acid for the two.<BR>\n" );
document.write( "15*(0.06)=0.9                           This is the final solution.\r<BR>\n" );
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document.write( "That checks\r<BR>\n" );
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document.write( " </SPAN>\n" );
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