Chris took a recipe for sugar cookies and adjusted it to have more sugar. The new recipe, for sugar bomb cookies, has (by proportion) twice as much sugar and only one-third as much non-sugar ingredients as the original recipe.

What fraction of the new recipe is sugar?

Submit your answer to Gene Wirchenko <genew@telus.net>. Your answer should be in the form of a proof. That means to show how your answer must be correct. **The deadline is Wednesday, August 31, 2016 at noon Pacific Time.** I will post the answer shortly after.