Mochi attended a Geology Competition which had $90$ questions. Mochi answered $60 \%$ of them. For each correct answer, Mochi will get $5$ marks. However, for each wrong answer, Mochi will have $2$ marks deducted. For each unanswered question, one mark would be awarded. If Mochi scored $264$ marks in total, how many questions did Mochi answer correctly? 
Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems