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2/5 of the prize will be distributed to 3/5 of the winners
This means $240 is given to 12 winners.
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what is the greatest possible individual award ?
Minimise prize of 11 of them to get the maximum prize one could get in this group of 12.
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each of whom must be awarded at least $20
Suppose each of 11 gets 20, then maximum prize one could get = 240 - 11*20 = 20.
A could be an answer, isn't so? Wait, let's look at the remaining 8 winners.
The remaining prize $360 must be given to 8 winners.
Again, suppose each of 7 gets 20, then maximum prize one could get = 360 - 7*20 = 220. Oh!
Hence, D is the correct answer.