KöMaL 2017 K530

Anthony és Blasius inherited a plot of land from their father. They divided it between themselves as instructed by the last will of the father. Each son grew only wheat and corn on this plot. Since the soil is more suitable for corn, a particular area used for growing wheat will only yield one third as much as the same area used for growing corn on it. Anthony produced one and a half as much wheat as corn, while Blasius produced five times as much corn as wheat. The ratio of the yield of wheat to corn for the entire plot was $11:27$. In what proportion did the two sons inherit the land?