Donna had some candies. She kept half of the number of candies plus $$3$$ candies. She gave the remaining candies to Jane. Jane ate $$\frac{1}{3}$$ of the candies plus $$4$$ candies. Then Jane gave the remaining candies to Kate. Kate ate $$\frac{1}{4}$$ of the candies and had $$42$$ candies left. How many candies did Donna have at frst? 
Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base