Sally had some cupcakes. She had $72$ more chocolate cupcakes than vanilla cupcakes. She had $36$ lesser blueberry cupcakes than vanilla cupcakes. After selling $\dfrac{1}{6}$~of the chocolate cupcakes, $\dfrac{2}{3}$~of the vanilla cupcakes and $\dfrac{7}{9}$~of the blueberry cupcakes, Sally is left with $427$ cupcakes altogether. How many chocolate cupcakes did Sally sell? 
Overseas Competition->Knowledge Point->Calculation Modules->Fractions