document.write( "Question 1178938: How much of Brand A fruit punch (55%
\n" ); document.write( "fruit juice) must be mixed with 2 L of
\n" ); document.write( "Brand B fruit punch (40% fruit juice) to
\n" ); document.write( "create a mixture containing 50% fruit
\n" ); document.write( "juice?
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Algebra.Com's Answer #808471 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "(1) Certainly memorizing a magic formula as shown by tutor @josgarithmetic is not a good way to LEARN HOW to work problems like this.

\n" ); document.write( "(2) Formal algebraic solutions as shown by the other tutors -- in which it is clear WHY the method works -- are of course fine.

\n" ); document.write( "(3) And if a formal algebraic solution is not required, here is what is almost certainly the fastest and easiest path to the answer.

\n" ); document.write( "Consider, perhaps using a number line, that the 50% of the mixture is 2/3 of the way from 40% to 55%, the percentages of the two ingredients.
\n" ); document.write( "That means 2/3 of the mixture must be the 55% ingredient.

\n" ); document.write( "So the 2L of the 40% juice is 1/3 of the mixture; that means the 2/3 of the mixture that is the 55% juice is 4L.

\n" ); document.write( "ANSWER: 4L of 55% juice.

\n" ); document.write( "CHECK:
\n" ); document.write( ".4(2)+.55(4) = .8+2.2 = 3
\n" ); document.write( ".5(6) = 3

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