A businessman instituted an annual award in a city school, with part of the award given to the school itself to improve its facilities. It was stated that if a student from a wealthy family were to top the annual examination, the school would receive twice the amount awarded to the student.
On the other hand, if a student from a poor family were to top the annual examination, the student would be awarded twice the amount that the school would receive. In one year, two students, one rich and one poor, jointly topped the annual examination.
What fraction of the award money did the school receive in this case ?