The "Basket of Eggs" problem states that a person removing 2 eggs at time from an Easter basket has 1 left; the person removing them 3 eggs at a time...

The “Basket of Eggs” problem states that a person removing 2 eggs at time from an Easter basket has 1 left; the person removing them 3 eggs at a time has 2 left; the person removing them 5 at a time has 3 left. What is the fewest number of eggs possible in the basket? I need detailed step by step on how to work this problem out