一道英语计算题,急!

一道英语计算题,急!
Once an old lady went to the market to sell eggs. She carried a basket of eggs. She sold her eggs to five people. The first bought half of the eggs and another half of an egg. The second, half of the rest and another half of the half left……The fifth took half of the eggs that the fourth person bought and another half of the half left. Then the old lady went back home with an empty basket. Do you know how many eggs the lady sold out and how many each of the five people bought?答案是31、16、8、4、2、1.请帮忙将题目翻译完整清楚并列出计算过程,好吗?其中的一句another half of the half left出现了两次,分别都是什么意思,实在让我晕!