SQL Call To Count The Total Rows In Table B For Each User In Table A

I have 2 tables:
 
TableA:
Name
UserA
UserB
UserC
 
Table B:
Name
               Data
UserA
              xxx
UserB
              asdasd
UserB
              ewrsad
UserC
              dsafasc
UserA
              sdf
UserB
              dfvr4
 
I want to count the total entries in Table B for every user in Table A.
  The output would be:
 
Name               Count
UserA
              2
UserB
              3
UserC
              1
 
I can use a Select Count statement, but I will have to make a SQL call for every user in Table A.
  Also, Table A is dynamic, so the users are always changing.
  Can this be incorporated into one SQL call to count the total rows in Table B for each user in Table A?