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
2006-12-14 10:38:52 · 12 answers · asked by Amuthan A 1 in Science & Mathematics ➔ Mathematics
the answer is 10 because if half of the people average 180, and the other half average 215, the total average weight is 197.5 pounds, so 10 people will weigh 1975 pounds, just under the limit...
2006-12-14 10:42:16 · answer #1 · answered by Justin H 2 · 0⤊ 0⤋
(180 X 5) + (215 X 5) = 1975 pounds
2006-12-18 01:36:08 · answer #2 · answered by sundar k 2 · 0⤊ 0⤋
The Answer is Undoubtedly C : 9
Because we have to calculate extreme possibility. If other Half people are on lift then it would be able to carry maximum 9 people of avg 215 Pounds. So max is 1935 Pounds and not more than that...
Ans Is : 9
2006-12-14 12:44:43 · answer #3 · answered by Dhaval Khamar 2 · 0⤊ 0⤋
n/2 * 180 + n/2 * 215 <= 2000
90n + 107½n <= 2000
197½ n <= 2000
n <= 10.12
Since n is an integer, the maximum value is n = 10
2006-12-14 10:42:33 · answer #4 · answered by Puzzling 7 · 0⤊ 0⤋
let number be n
Thus n/2 * 180 + n/2 * 215 ≤ 2000
ie 395n ≤ 4000
So n ≤ ~10.125
So maximum number = 10 ← Option D
2006-12-14 10:47:41 · answer #5 · answered by Wal C 6 · 0⤊ 0⤋
Do you guys really think that an elevator can ride 10 people, the equivalent weight of a car? seriously.
don't be naive and pick the answer (A) 7
2006-12-14 17:44:43 · answer #6 · answered by yassine 1 · 0⤊ 0⤋
AD Daily people until you brake the Elevator down..Then for sure you will know how many individuals this Elevator can hold . Always Keep the fat ones out...make them use the steps after all they need the exrcise.
2006-12-14 11:51:15 · answer #7 · answered by nikitasgarofallou 3 · 0⤊ 0⤋
n/2 * 180 + n/2 * 215 <= 2000
90n + 107½n <= 2000
197½ n <= 2000
n <= 10.12
so answer is (d).
2006-12-14 16:16:53 · answer #8 · answered by arpita 5 · 0⤊ 0⤋
(d) 10
2006-12-14 10:44:01 · answer #9 · answered by chowderkiwi 2 · 0⤊ 0⤋
5*180=900
5*215=1075
+_________
10 passengers weigh 1975 lbs.
one more would be too much.
2006-12-14 10:43:59 · answer #10 · answered by Napper 2 · 0⤊ 0⤋