document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1112892>Question 1112892</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A chemical company makes two brands of antifreeze. The first brand is <BR>\n" );
document.write( "70<BR>\n" );
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document.write( "pure antifreeze, and the second brand is <BR>\n" );
document.write( "95<BR>\n" );
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document.write( "pure antifreeze. In order to obtain <BR>\n" );
document.write( "140\r<BR>\n" );
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document.write( "gallons of a mixture that contains <BR>\n" );
document.write( "80<BR>\n" );
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document.write( "pure antifreeze, how many gallons of each brand of antifreeze must be used?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #727944 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=727944\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The desired percentage of the mixture, 80, is 2/5 of the way from 70 to 95.  (95-70 = 25; 80-70 = 10; 10/25 = 2/5)<br><BR>\n" );
document.write( "That means 2/5 of the mixture must be the 95% antifreeze.<br><BR>\n" );
document.write( "95% antifreeze: 2/5 of 140 gallons = 56 gallons<BR>\n" );
document.write( "70% antifreeze: 3/5 of 140 gallons = 84 gallons<br><BR>\n" );
document.write( "Answer: 56 gallons of 95%, 84 gallons of 70%<br><BR>\n" );
document.write( "or you can use the much more difficult traditional algebraic solution method:<br><BR>\n" );
document.write( "Let x be the number of gallons of 95% antifreeze<BR>\n" );
document.write( "Then 140-x = number of gallons of 70% antifreeze<br><BR>\n" );
document.write( "The 140 gallons of the mixture is 80% antifreeze:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.95%28x%29%2B.70%28140-x%29+=+.80%28140%29 ALIGN=MIDDLE  ALT=\".95%28x%29%2B.70%28140-x%29+=+.80%28140%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "A relatively easy equation to solve; but far more work than is required by the first method.... </SPAN>\n" );
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