Aprince picked a basketful of golden apples in the enchanted orchard. on his way home, he was stopped by a troll who guarded. the troll demanded payment of 1/2 of the apples plus two more. the prince gave him the apples and set off. a little further on, he was stopped by a second troll guard who demanded a payment of 1/2 of the apples the prince now had plus two more. the prince paid and set off again. just before leaving the orchard, a third troll stopped him demanding 1/2 of his remaining apples plus two more. sadly, the prince paid him and went home. he had only two golden apples left. how many apples had he picked?