Lucy was packaging chocolates at the chocolate factory. She just started her shift when the machine malfunctioned. The candies were coming out too fast.
Lucy stuffed 1/6 of the chocolates into her pocket.
Then, she took 1/5 of what was left, and hid them under her hat.
She put 1/4 of the remaining candies into her purse.
Next she hid 1/3 of those left under her shirt.
And finally, shoved 1/2 of what was left into her mouth.
When her boss came to check on her, there were only 3 chocolates remaining on the belt.
How many chocolates did Lucy have at the beginning of her shift?