A certain elevator has a safe weight limit of 2,000 pounds. What is the greatest possible number of people who can safely ride on the elevator at one time with the average (arithmetic mean) weight of half the riders being 200 pounds and the average weight of the others being 230 pounds?
Select
A) 7	B) 8	C) 9	D) 10	E) 11
Lets assume there are 2X people.   Half of them have average weight of 200 and other half has 230.   Maximum Weight is = 2000   So 200*X + 230*X = 2000   =&gt; 430X = 2000   =&gt; X is approximately equal to 5.   So total people is  2*5= 
<gadget id="calculator"> 2*5</gadget>
<output>10</output>
10   We are not taking 10 as answer because say 10th person has minimum of 200 weight then   200*5 + 230*5= 
<gadget id="calculator">200*5 + 230*5</gadget>
<output>2_150</output>
2150 (Which is more than 2000)   Answer 9.
<result>C</result>
A certain elevator has a safe weight limit of 2,000 pounds. What is the greatest possible number of people who can safely ride on the elevator at one time with the average (arithmetic mean) weight of half the riders being 200 pounds and the average weight of the others being 230 pounds?