Rasidah had $$$48$$ less than Chai Seng. Rasidah spent~$\tfrac{3}{5}$~of her money and Chai Seng spent~$\tfrac{6}{7}$~of his money. In the end, Chai Seng had~$\tfrac{1}{2}$~as much money left as Rasidah. Find the amount of money Rasidah had at first. 
Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization->Applying Prime Factorization->Equalizing products by Grouping