SOLUTION: 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 mixt

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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?
Answer by fcabanski(1391)   (Show Source): You can put this solution on YOUR website!
If one cup is added to the bowl, and the result is three cups, then the bowl originally held two cups.


1/3 of that 2 cups was peanuts.
1/3 * 2 = 2/3 cup of peanuts in the bowl.


The new mixture added is one cup. Half of that cup is peanuts.
1/2 * 1 = 1/2 cup of peanuts.


The new mixture contains 1/2 + 2/3 = 3/6 + 4/6 = 7/6 cups of peanuts.


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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