Delete Record From Table A That Is Not In Table B

I have two tables;
Table A
id, name
101, jones
102, smith
103, williams
104, johnson
105, brown
106, green
107, anderson

Table B
id, name, city, state

101, jones, des moine, Idaho
103, williams, Corvallis, Oregon
104, johnson, Grand Forks, North Dakota
105, brown, Phoenix, Arizona
107, anderson, New York, New York

I need to delete records from Table A that are not in Table B. My front end is writen in .net and I am using Data Access Layer along with a Business Logic Layer for data interaction.

I have tried at least seven variations of joining, right outer join, left outer join resulting in wiping our the entire table or nothing at all; not to mention deleting the record that ought to remain and keeping the record that needs to be deleted!

In my BLL I tried to capture the rowsAffected for the deletion by using-without success.

Dim rowsAffected As Integer = Adapter.ID_Deletion(ID)

If rowsAffected = 1 Then

Exit Function

Else

Return rowsAffected = 1

End If

Please help.

MsMe.