16 Sep '03 14:40

A farmer is taking her eggs to market in her cart, but she hits a pot-hole, which knocks over all the containers of eggs. Though she herself is unhurt, every egg is broken. So she goes to her insurance agent, who asks how many eggs she had. She says she doesn't 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 left over. When she put the eggs in groups of three, there was also one egg left over. the same thing happened when she put them into groups of four, groups of five, and groups of six. But when she put them in groups of seven, she ended up with comlpete groups of seven with no eggs left over.

What is the smallest number of eggs the farmer had?

Explain how you solved this problem

What is the smallest number of eggs the farmer had?

Explain how you solved this problem