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11 Feb 2020, 03:53
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
73% (02:55) correct
27%
(02:59)
wrong
based on 451
sessions
History
Date
Time
Result
Not Attempted Yet
The chart attached shows the average number of passengers per day on Lyric Airlines for Monday, Tuesday, and Wednesday. If 1/2 of the total flights were on Monday, and there were 3/2 as many flights on Tuesday as on Wednesday, what was the average number of passengers per flight for the three-day period?
A. 200
B. 206
C. 210
D. 214
E. 220
Attachment:
Graph.JPG [ 11.09 KiB | Viewed 6219 times ]
Archit3110
11 Feb 2020, 05:31
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total flights= 10
Monday = 5
Wednesday= 2 and Tuesday = 3
avg = 5*200+3*220+2*240/ 10
IMO D; 214
Monday = 5
Wednesday= 2 and Tuesday = 3
avg = 5*200+3*220+2*240/ 10
IMO D; 214
Bunuel
16 Feb 2020, 08:07
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Bunuel
Solution:
We see that 50% of the flights were on Monday, 30% on Tuesday and 20% on Wednesday. Therefore, the average number of passengers per flight for the three-day period is:
200 x 0.5 + 220 x 0.3 + 240 x 0.2
100 + 66 + 48
214
Alternate Solution:
Let’s assume that there were 10 flights total for the 3 days. Thus, there were 5 flights on Monday, 3 flights on Tuesday, and 2 flights on Wednesday. We can calculate the weighted average:
Average = (200 x 5 + 220 x 3 + 240 x 2) / 10
Average = 2140/10
Average = 214
Answer: D
