A farmer is taking her eggs to market in her cart, but she hits a pothole, which knocks over all the containers of eggs. Though she herself is not hurt, every egg is broken. So she goes to her insurance agent, who asks her how many eggs she had. She says she doesn’t know, but she remembers some things from the various ways she tried packing the eggs. She knows that when she put the eggs in groups of two, there was one left over. When she put them in groups of three, there was also one egg left over. The same thing happened when she put them in groups of four, groups of five, or groups of six. But when she put them in groups of seven, she ended up with complete groups of seven with no eggs left over.