|Spoiler Inside: Solution to Puzzle||SelectShow>|
Let s be the fraction of the ingredients that is sugar. Let n be the fraction of the ingredients that are not sugar. (These are for the sugar cookie recipe.)
Since that is all ingredients in both cases, for the sugar cookies recipe, s + n = 1, and for the sugar bomb cookies recipe, 2s + n/3 = 1.
Solve the linear system to get s = 2/5 and n = 3/5. This means that the sugar bomb cookies are 4/5 sugar. Buzz! Buzz!