Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE table_35394 ( "Round" real, "Pick" real, "Player" text, "Position" text, "School/Club Team" text )

### Question ###
What's the sum of the Pick that has the Position of Tackle, the Player Woody Adams, and a Round that's larger than 22?

### Accurate SQL ###

SELECT COUNT("Pick") FROM table_35394 WHERE "Position" = 'tackle' AND "Player" = 'woody adams' AND "Round" > '22'