document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196971>Question 1196971</A>: <I><SPAN STYLE=\"word-break: break-all;\">  How many liters of a blue dye that costs $1.90 per liter must be mixed with 22 L of anil that costs $2.50 per liter to make a mixture that costs $2.10 per liter? \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #830027 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=830027\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "First a typical formal algebraic solution....<br><BR>\n" );
document.write( "x liters at $1.90 per liter, plus 22 liters at $2.50 per liter, yields (x+22) liters at $2.10 per liter:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%281.90%29%2B22%282.50%29=%28x%2B22%29%282.10%29 ALIGN=MIDDLE  ALT=\"x%281.90%29%2B22%282.50%29=%28x%2B22%29%282.10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.90x%2B55=2.10x%2B46.20 ALIGN=MIDDLE  ALT=\"1.90x%2B55=2.10x%2B46.20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8.80=0.20x ALIGN=MIDDLE  ALT=\"8.80=0.20x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8.80%2F0.20=44 ALIGN=MIDDLE  ALT=\"x=8.80%2F0.20=44\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: 44 liters<br><BR>\n" );
document.write( "And then a quick and easy informal solution, if formal algebra is not required....<br><BR>\n" );
document.write( "Look at the three prices per liter -- $1.90, $2.10, and $2.50 -- (on a number line, if it helps) and observe/calculate that $2.10 is 1/3 of the way from $1.90 to $2.50.<br><BR>\n" );
document.write( "That means 1/3 of the mixture needs to be the more expensive ingredient -- i.e., there needs to be twice as much of the less expensive ingredient.<br><BR>\n" );
document.write( "Since there are 22 liters of the more expensive ingredient, there need to be 2*22 = 44 liters of the less expensive.<br><BR>\n" );
document.write( "ANSWER (again, of course): 44 liters<br><BR>\n" );
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