A prize of $800 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?
Pick:
A) $200 B) $220 C) $280 D) $300 E) $340
Total value of the prize =$800   Number of people = 20   2/5 of 800 (=$320) should be distributed among 3/5 of 20 (=12 people ) with each getting $20 each. Remaining money = 800-320= 
<gadget id="calculator">800-320</gadget>
<output>480</output>
$480. 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= 480-140= 
<gadget id="calculator">480-140</gadget>
<output>340</output>
$340, hence $340 is the correct answer.
<result>E</result>
A prize of $800 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?