Two schools 'P' and 'Q' decided to award prizes to their students for two games of Hockey ₹ x per student and Cricket ₹ y per student. School 'P' decided to award a total of ₹ 9,500 for the two games to 5 and 4 students respectively; while school ' Q ' decided to award ₹ 7,370 for the two games to 4 and 3 students respectively. Based on the above information, answer the following questions :
(i) Represent the following information algebraically (in terms of x and y ).
(ii) (a) What is the prize amount for hockey?
OR
(b) Prize amount on which game is more and by how much ?
(iii) What will be the total prize amount if there are 2 students each from two games?