document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=731016>Question 731016</A>: <I><SPAN STYLE=\"word-break: break-all;\"> We have 20% alcohol solution and 50% acid solution, how many pints must be added from each to obtain 8 pints of 30%?\r<BR>\n" );
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document.write( "-Because it mixes alcohol and acid solutions, I'm not sure if the same equation for mixtures works for this problem.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #446956 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=446956\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Bad question.  No specification for the ratio of the alcohol to the acid in the 8 pints mixture, and you cannot expect to INCREASE the amount of alcohol from 20% to 30%.  If you want to accept this as an open-ended question, then you could pick any ratio between the alcohol and the acid that is possible.  \r<BR>\n" );
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document.write( "One way to approach is to make a total percent concentration rational equation and give one of the conditions that the volumes of each quantity of the available solutions must sum to 8 pints.  The thought is like this:\r<BR>\n" );
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document.write( "x for the alcohol volume, y for the acid volume,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820x%2B50y%29%2F8=p ALIGN=MIDDLE  ALT=\"%2820x%2B50y%29%2F8=p\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=8 ALIGN=MIDDLE  ALT=\"x%2By=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  You would not care what the ratio is between x and y; only that you care that the value of p is 30, for 30%.  \r<BR>\n" );
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document.write( "According to that, you are back to a typical two component mixture problem without regard to the identity of the pure material in the available solutions or the resulting solution.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820x%2B50y%29%2F8=30 ALIGN=MIDDLE  ALT=\"%2820x%2B50y%29%2F8=30\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=8 ALIGN=MIDDLE  ALT=\"x%2By=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve for x and y. </SPAN>\n" );
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