$\tfrac{1}{6}$~of $$Tim\textquotesingle s$$ cookies were equal to~$\tfrac{3}{8}$~of $$Tyler\textquotesingle s$$ cookies. After $$Tyler$$ sold $$96$$ cookies, $$Tim$$ had $$9$$ times as many cookies as $$Tyler$$. How many cookies were there at first? 
Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization->Applying Prime Factorization->Equalizing products by Grouping