Final answer:
The lymphatic organ that contains both red pulp and white pulp is the spleen. The spleen filters blood and lymph, houses lymphocytes, and removes damaged red blood cells.
Step-by-step explanation:
The lymphatic organ that contains both red pulp and white pulp is the spleen. The spleen is a secondary lymphoid organ that filters blood and hosts immune responses. Its red pulp functions to store blood and remove damaged red blood cells, while the white pulp contains lymphocytes that help fight infection by removing antigen-coated bacteria and mounting immune responses. It is important to note that while the thymus gland produces T-lymphocytes and the tonsils help in fighting infections, they do not contain the red and white pulp found in the spleen. Moreover, lymph nodes, which are situated throughout the body, also play a key role in immunity but again, do not have the red and white pulp structure found in the spleen.