Afarmer is taking her eggs to market in her cart, but she hits a pothole, whick knocks over all the containers of eggs. though she herself is unhurt, every egg is broken. so she goes to the insurance agent who asks her how many eggs she had. she says she doesnt know, but she remembers some things from various ways she tried packing the eggs. she knows that when she put the eggs in groups of two, there was one egg left over. when she out 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 withcomplete groups of seven with no eggs left over. how many eggs did she have?