Cellina spent $$ \frac{5}{9} $$ of her money on $$36$$ cupcakes and $$32$$ mufins. The price of one cupcake was thrice as much as the price of one muffin. She then used $$ \frac{1}{6} $$ of her money to buy more cupcakes. She spent a total of $$ $187.50$$ on all the cupcakes. How much did she spend on the muffins? 
Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle