document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1157201>Question 1157201</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How much of Brand A fruit punch (40% fruit juice) must be mixed with 2 L of<BR>\n" );
document.write( "grape juice to create a mixture containing 64% fruit juice?<BR>\n" );
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document.write( "Here is a non-standard, non-algebraic method for solving any two-part mixture problem like this.<br><BR>\n" );
document.write( "You are starting with 2L of 100% grape juice; you are adding some 40% fruit juice to get a mixture that is 64% fruit juice.<br><BR>\n" );
document.write( "Imagine the three percentages on a number line: 100, 64, and 40.  Imagine \"walking\" along the number line, starting from 100 and moving toward 40, stopping when you get to 64.  What fraction of the distance have you gone?<br><BR>\n" );
document.write( "100 to 40 is 60; 100 to 64 is 36.  You have gone 36/60 = 3/5 of the distance.<br><BR>\n" );
document.write( "That means 3/5 of the mixture has to be the 40% fruit juice that you are adding to the original 100% grape juice.<br><BR>\n" );
document.write( "So 2/5 of the mixture is the original 2L of grape juice; that means the 3/5 of the mixture is 3L.<br><BR>\n" );
document.write( "ANSWER:<BR>\n" );
document.write( "Add 3L of fruit juice to get a mixture that is 64% fruit juice.<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "1.00(2)+.40(3) = 2+1.2 = 3.2<BR>\n" );
document.write( ".64(2+3) = .64(5) = 3.2<br><BR>\n" );
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