A prize of $500 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
A) $160 B) $220 C) $280 D) $300 E) $360
Total value of the prize =$500   Number of people = 20   2/5 of 500 (=$200) should be distributed among 3/5 of 20 (=12 people ) with each getting $20 each. Remaining money = 500-200= 
<gadget id="calculator">500-200</gadget>
<output>300</output>
$300. 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= 300-140= 
<gadget id="calculator">300-140</gadget>
<output>160</output>
$160, hence $160 is the correct answer.
<result>A</result>
A prize of $500 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?