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.
If you need help understanding math so you can solve these problems yourself, then one on one online tutoring is the answer ($30/hr). If you need faster solutions with guaranteed detailed answers, then go with personal problem solving ($3.50-$5.50 per problem). Contact me at fcabanski@hotmail.com
(