A flock of geese is flying while another goose is flying past it. The goose asks the leader of the flock how many they are. The leader answers: us, plus us, plus half us, plus a quarter of us, plus myself make the flock 100 geese. How many are we?

Is there a typo? "Us" and "plus us" would each include all the geese, which then = 100. But that is the total according to your data. Revise and repost.