Jose is a collector of fine wines. His private cellar currently holds 2400 bottles of imported wine and half as many bottles of domestic wine as imported wine. If Jose holds a party and the guests drink one-third of all his wine, how many bottles will remain in his cellar? Let's think first. Chain of thought:
Jose has half as many bottles of domestic wine as imported wine, or 2400 / 2 = 1200 bottles of domestic wine. In total, he has 2400 + 1200 = 3600 bottles of wine. If the guests drink one - third of all his wine, then they will have consumed 3600 / 3 = 1200 bottles of wine. Thus, after the party, Jose's private cellar will have 3600 - 1200 = 2400 remaining bottles of wine.
Therefore, the answer is 2400.