document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252173>Question 252173</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a chemist has one solution that is 80% acid and another that is 30% acid. how much of each solution is needed to make a 9 200l solution that is 62% acid? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #183952 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=183952\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> All mixture problems are just variations of the standard RTD problems. We need 3 columns labeled: % , L, %L. Next we need three rows labeled A, B, and Mix. The A and B stand for the percentages of what you need. We set up the following table based on the information given. The table doesn't show up very well. BIG SPACE means place a big space between the terms. The % numbers should line up under the percentage sign (%). The liter numbers should line up under the liter sign (L). The %L terms should line up under the %L sign.\r<BR>\n" );
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document.write( "              % BIG SPACE              L     BIG SPACE               %L<BR>\n" );
document.write( "A  BIG SPACE        80     BIG SPACE          X         BIG SPACE          80X\r<BR>\n" );
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document.write( "B  BIG SPACE        30      BIG SPACE   9200-X   BIG SPACE         276000 - 30X\r<BR>\n" );
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document.write( "Mix BIG SPACE     62      BIG SPACE   9200        BIG SPACE        570400\r<BR>\n" );
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document.write( "Where did all of this stuff come from? 80 = % acid in one solution; 30 = % acid in another solution; 9200 the total number of liters in the mixture; 62 = % needed in the mixture.  Now for the variable. We don't know the exact number of liters for A or B, so we call one of them X. The other will always be <BR>\n" );
document.write( "total liters - X. Finally column 3 (%L): I got these number by multiplying each % and L information.\r<BR>\n" );
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document.write( "Next step is to add the first 2 terms of the %L column and set equal to the last term. So, we get\r<BR>\n" );
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document.write( "80X + 276000 - 30X = 570400\r<BR>\n" );
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document.write( "50X = 294400\r<BR>\n" );
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document.write( "X = 5888 L. So we need 5,888 L of the 80% solution.\r<BR>\n" );
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document.write( "9200-X = 3112L. We need 3,112L of the 30% solution. </SPAN>\n" );
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