Alady walks into the store and steals $100 bill from the register without the owners knowledge she comes back in 5 minutes about $70 worth of groceries what the hundred-dollar bill the owner gives her $30 in change how much did the owner lose

Regardless, the lady stole $100, so the owner would have lost $100, even if she spent it at the store.

However, in terms of direct cash, the owner would have lost $30. She used the $100 bill to buy $70 worth of groceries, and he gave her $30 back. That's $70 in the owner's pocket, and $30 lost. 

 

You would do 100+30=130 so then you would get $130 there's your answer.