The teacher distributed a total of $220$ sweets to the students in the classroom. $\frac{3}{5}$ of the students received $6$ sweets each, $\frac{1}{4}$ of the remainder received $4$ sweets each and the rest received $5$ sweets each. How many students were in the classroom?~\uline{~~~~~~~~~~}~ 
Overseas Competition->Knowledge Point->Calculation Modules