Hanson spent~$\tfrac{1}{4}$~of his money and an additional $$$3$$ on a number of CDs. He then spent~$\tfrac{3}{5}$~of the remaining money and an additional $$$6$$ on a number of batteries. Given that he was left with $$$24$$, how much money did Hanson have at first? 
Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems