Akansha gave Jyotsna as many dollars as Jyotsna started out with.

Jyotsna then gave Akansha back as much as Akansha had left.

Akansha then gave Jyotsna as back as many dollars as Jyotsna had left;

which left Akansha broke and gave Jyotsna a total of $80.00.

How much did Akansha and Jyotsna have at the beginning of their exchange?