Freshly Minted
A bowl contains between 50 and 100 mints.
When you divide all the mints into groups of five, there are four left over (which you eat).
You then take all the mints, put them back into the bowl, and divide them into groups of four. Three are left over (which you eat).
You now take all the mints, put them back into the bowl, and divide them into groups of three. Two are left over (guess what happens to them – hint: chomp,chomp).
Yet again, you take all the mints and put them back into the bowl. Now, you divide them into groups of two. None are left over (you already ate enough).
How many mints were originally in the bowl?
(from a puzzle magazine)