A prize of $600 is to be distributed among 15 winners, each of whom must be awarded at least $15. If 2/5 of the prize will be distributed to 3/5 of the winners, what is the greatest possible individual award? Choose the correct option:
A) $ 200
B) $ 220
C) $ 285
D) $ 300
E) $ 360

Rationale: "total value of the prize = $ 600 number of people = 15 2 / 5 of 600 ( = $ 240 ) should be distributed among 3 / 5 of 15 ( = 9 people ) with each getting $ 15 each . remaining money = 600 - 240 = $ 360 . now in order to ' maximize ' 1 prize , we need to minimise the others and we have been given that each should get $ 15 . thus , minimising the remaining 5 people ( = 15 - 9 - 1 . ' - 1 ' to exclude 1 that needs to be maximised ) = 5 * 15 = 75 . thus the maximum award can be = 360 - 75 = $ 285 , hence c is the correct answer ."
Answer: C