Noah hoped that Scarlett was sold the cake on the stage by William .
* cake ( x _ 7 ) ; * stage ( x _ 10 ) ; hope . agent ( x _ 1 , Noah ) AND hope . ccomp ( x _ 1 , x _ 5 ) AND sell . recipient ( x _ 5 , Scarlett ) AND sell . theme ( x _ 5 , x _ 7 ) AND sell . agent ( x _ 5 , William ) AND cake . nmod . on ( x _ 7 , x _ 10 )