Lucy and the Chocolate Factory

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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?

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