Helen sold watermelons at the farmer\textquotesingle s market last weekend. She sold $\dfrac{1}{3}$~of her total the first day, and $\dfrac{3}{5}$~of the remaining watermelons on the second day. After both days, she had $48$ watermelons left. How many watermelons did Helen start with? 
Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base