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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) [...]
Written by Take GMAT Team on May 8th, 2008 with
8 comments.
Read more articles on Ask a GMAT Question and GMAT Question of the Day.
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
Written by Take GMAT Team on May 8th, 2008 with
8 comments.
Read more articles on Ask a GMAT Question and GMAT Question of the Day.
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Rajib Banerjee
#2.
May 9th, 2008, at 12:47 AM.
Let the total number of people be x
Total weight of first half = 180x/2 = 90x
Total weight of second half = 215x/2
Since, safe weight limit of elevator is 2,000 pounds, the statement turns out as :-
90x + 215x/2 395x x
Rajib Banerjee
#3.
May 9th, 2008, at 12:48 AM.
Let the total number of people be x
Total weight of first half = 180x/2 = 90x
Total weight of second half = 215x/2
Since, safe weight limit of elevator is 2,000 pounds, the statement turns out be :-
90x + 215x/2
Maulik
#4.
May 9th, 2008, at 1:35 PM.
D
Nrip Nihalani
#5.
May 9th, 2008, at 1:47 PM.
Avg Weight = (180 + 215 )/2
= 395/2
= 197.5
The total number of ppl such that the total weight is less than 2000 is thus 2000/197.5 == 10.12 == 10
Thus Ans is D 10
deepak
#6.
May 9th, 2008, at 3:11 PM.
I think the ans is 10.choice (D).
Avg = (180+215)/2
= 197.5..So 10 ppl can travel w/o fail.
Ritula
#7.
May 10th, 2008, at 12:30 PM.
Answer should be D
Manisha
#8.
May 16th, 2008, at 1:39 PM.
D
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#1. May 8th, 2008, at 11:17 PM.
D