PS ... Help.

This topic has expert replies
Senior | Next Rank: 100 Posts
Posts: 30
Joined: Sun Jul 13, 2008 12:44 pm
Location: USA

PS ... Help.

by ramonsa » Wed Jun 03, 2009 2:30 pm
7. 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 180 pounds and the average weight of the others being 215 pounds?
(A) 7
(B) 8
(C) 9
(D) 10
(E) 11
Thanks
Source: — Data Sufficiency |

User avatar
Master | Next Rank: 500 Posts
Posts: 355
Joined: Thu Feb 19, 2009 12:42 pm
Thanked: 2 times
Followed by:1 members

by vineetbatra » Fri Jun 05, 2009 12:51 pm
average of first 50% is 180 average of the balance is 215

so totall average is

180*.5+215*.5 = 197.5

2000/197.5 = 10.1 so the answer is 10

what is OA

Legendary Member
Posts: 594
Joined: Thu Aug 14, 2008 11:51 pm
Thanked: 12 times

by nervesofsteel » Sun Jun 07, 2009 1:07 pm
yes D for me too

180*(n/2)+215(n/2) = 2000
n = total number of people lift can carry..

n = 10.1

so ans 10