document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1165119>Question 1165119</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A dairy needs 244 gallons of milk containing 7% butterfat. How many gallons each each of milk containing 9% butterfat and milk containing 1% butterfat must be used to obtain the desired 245 gallons? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #789603 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=789603\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "A standard formal algebraic setup for solving the problem....<br><BR>\n" );
document.write( "x = gallons of 1% butterfat<BR>\n" );
document.write( "244-x = gallons of 9% butterfat<br><BR>\n" );
document.write( "The mixture of 244 gallons is to be 7% butterfat:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.01%28x%29%2B.09%28244-x%29+=+.07%28244%29 ALIGN=MIDDLE  ALT=\".01%28x%29%2B.09%28244-x%29+=+.07%28244%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "That equation is solved using basic algebra, but the numbers are not \"nice\", so it requires a lot of work.  (I leave it to you to finish solving by that method.)<br><BR>\n" );
document.write( "Here is a quick and easy way to solve a 2-part mixture problem like this with some simple mental arithmetic.<br><BR>\n" );
document.write( "The target percentage, 7%, is 3/4 of the way from 1% to 9%.  (Picture the three percentages on a number line, if it helps....)<br><BR>\n" );
document.write( "That means 3/4 of the total 244 gallons needs to be the 9% butterfat.<br><BR>\n" );
document.write( "ANSWER: 1/4 of 244 gallons, or 61 gallons, of 1% butterfat milk, the other 183 gallons of 9% butterfat milk.<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( ".01(61)+.09(183) = 0.61+16.47 = 17.08<BR>\n" );
document.write( ".07(244) = 17.08<br><BR>\n" );
document.write( " </SPAN>\n" );
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