document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184101>Question 1184101</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that one solution contains 30% alcohol and another solution contains<BR>\n" );
document.write( "80% alcohol. How many liters of each solution should be mixed to make 12.5<BR>\n" );
document.write( "liters of a 60% alcohol solution? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814632 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=814632\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Using the standard formal algebraic solution method....<br><BR>\n" );
document.write( "x = liters of 30% alcohol<BR>\n" );
document.write( "12.5-x = liters of 80% alcohol<br><BR>\n" );
document.write( "The total amount of alcohol in the two ingredients is 60% of the total 12.5 liters:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.30%28x%29%2B.80%2812.5-x%29=.60%2812.5%29 ALIGN=MIDDLE  ALT=\".30%28x%29%2B.80%2812.5-x%29=.60%2812.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "I'll let you finish the solution by that method....<br><BR>\n" );
document.write( "Here is a quick and easy way to solve any 2-part \"mixture\" problem like this if a formal algebraic solution is not required....<br><BR>\n" );
document.write( "Consider the three percentages 30, 60, and 80 on a number line and observe/calculate that 60 is 3/5 of the way from 30 to 80.  (30 to 80 is a difference of 50, 30 to 60 is a difference of 30; 30/50 = 3/5.)<BR>\n" );
document.write( "That means 3/5 of the mixture is the 80% alcohol.<br><BR>\n" );
document.write( "ANSWER: 3/5 of 12.5 liters, or 7.5 liters, of 80% alcohol; the other 5 liters of 30% alcohol.<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( ".80(7.5)+.30(5)=6+1.5=7.5<BR>\n" );
document.write( ".60(12.5)=7.5<br><BR>\n" );
document.write( " </SPAN>\n" );
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