A prize of $400 is to be distributed among 20 winners, each of whom must be awarded at least $20. 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 choice from the following choices:
A) $100
B) $220
C) $280
D) $300
E) $360
Total value of the prize =$400   Number of people = 20   2/5 of 400 (=$160) should be distributed among 3/5 of 20 (=12 people ) with each getting $20 each. Remaining money = 400-160= 
<gadget id="calculator">400-160</gadget>
<output>240</output>
$240. Now in order to 'maximize' 1 prize, we need to minimise the others and we have been given that each should get $20. Thus, minimising the remaining 7 people (=20-12-1. '-1' to exclude 1 that needs to be maximised) = 7*20= 
<gadget id="calculator">7*20</gadget>
<output>140</output>
140.   Thus the maximum award can be= 240-140= 
<gadget id="calculator">240-140</gadget>
<output>100</output>
$100, hence $100 is the correct answer.
<result>A</result>
A prize of $400 is to be distributed among 20 winners, each of whom must be awarded at least $20. If 2/5 of the prize will be distributed to 3/5 of the winners, what is the greatest possible individual award?