SOLUTION: A 2-cup mixture is 1/3 flour and 2/3 cornmeal. If 1 cup of flour is added to the 2-cup mixture, what fraction of the new 3-cup mixture is flour? Express your answer as a common fra

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A 2-cup mixture is 1/3 flour and 2/3 cornmeal. If 1 cup of flour is added to the 2-cup mixture, what fraction of the new 3-cup mixture is flour? Express your answer as a common fra      Log On


   

Question 203555: A 2-cup mixture is 1/3 flour and 2/3 cornmeal. If 1 cup of flour is added to the 2-cup mixture, what fraction of the new 3-cup mixture is flour? Express your answer as a common fraction.
Answer by promotion analysis(5) About Me  (Show Source):
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Let's do everything in terms of "thirds of a cup"

The original 2 cup mixture was one third flour.
Therefore the original mixture contained 2/3 of a cup of flour.

Like wise, the original mixture contained 4/3 of a cup of cornmeal.

Now we are adding three thirds (note how we express everything in thirds of a cup) of a cup of flour.

There are now THREE cups of mixed flour+cornmeal - or in other words there are NINE THIRDS of a cup.
Of those nine thirds, FIVE of them (the original 2 plus the extra 3) are made up of flour
So the fraction of the final mixture made up of flour is 5/9