Question 551721
If one cup is added to the bowl, and the result is three cups, then the bowl originally held two cups.<P>
1/3 of that 2 cups was peanuts.
1/3 * 2 = 2/3 cup of peanuts in the bowl.<P>
The new mixture added is one cup.  Half of that cup is peanuts.
1/2 * 1 = 1/2 cup of peanuts.<P>
The new mixture contains 1/2 + 2/3 = 3/6 + 4/6 = 7/6 cups of peanuts.<P>
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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