document.write( "Question 551721: one cup of nuts that contain exactly half peanuts and half cashew is added to a bowl of nuts that is exactly 1/3 peanuts,1/3 cashews and 1/3 almonds.This result in a three cup mixture of nuts.What fraction of the new nut mixture is peanuts? \n" ); document.write( "

Algebra.Com's Answer #359879 by fcabanski(1391) $\"\"$ $\"About$

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If one cup is added to the bowl, and the result is three cups, then the bowl originally held two cups.

\n" ); document.write( "1/3 of that 2 cups was peanuts.
\n" ); document.write( "1/3 * 2 = 2/3 cup of peanuts in the bowl.

\n" ); document.write( "The new mixture added is one cup. Half of that cup is peanuts.
\n" ); document.write( "1/2 * 1 = 1/2 cup of peanuts.

\n" ); document.write( "The new mixture contains 1/2 + 2/3 = 3/6 + 4/6 = 7/6 cups of peanuts.

\n" ); document.write( "It's 7/6 cups of peanuts in 3 cups total = (7/6) / 3 = 7/6 * 1/3 = 7/18 of the new mixture is peanuts.
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