document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1094062>Question 1094062</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many gallons of a fruit drink that is 50% real juice must be mixed with a fruit drink that is 20% real juice to obtain 12 gallons of a fruit drink that is 40% real juice?\r<BR>\n" );
document.write( "\n" );
document.write( "I have attempted to make a chart as follows, but I'm not sure I have the numbers in the correct spots. Ignore the lines in between numbers, that's just to separate the different parts of the chart.\r<BR>\n" );
document.write( "\n" );
document.write( "x  |   .50     | .50x<BR>\n" );
document.write( "12   |    .40     |   .40(12)<BR>\n" );
document.write( "x+12     |   .20    |   .20(x+12) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #708658 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=708658\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br>You're on the right track; but some of the expressions in your chart don't match the given information.<br><BR>\n" );
document.write( "In your chart, the last amount is supposed to be the number of gallons in the final mixture.  The problem says you are making 12 gallons of mixture, so that number should be 12.  Your chart shows \"12+x\" in that location.<br><BR>\n" );
document.write( "So if x is the first amount in the first column of your chart, and 12 is to be the last amount in the first column, then what must the second expression in your first column be?  That is, what algebraic expression, when added to \"x\", gives an answer of \"12\"?<br><BR>\n" );
document.write( "Of course, when you get the expressions in the first column fixed, it will cause changes elsewhere in your chart.  But then you will be ready to write and solve the equation that leads to the answer.<br><BR>\n" );
document.write( "This is the part of setting up a problem like this that most students stumble over.  You will see this kind of thing many times in algebra.  Get it figured out for this problem and you will be ready when you see this kind of thing again.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );