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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1053
GPA: 3.39
Three boxes of supplies have an average (arithmetic mean) weight of 7
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21 Nov 2022, 02:18
21 Nov 2022, 02:18
Expert Reply
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Question Stats:
80% (01:27) correct
20% (00:46) wrong based on 5 sessions
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Three boxes of supplies have an average (arithmetic mean) weight of 7 kilograms and a median weight of 9 kilograms. What is the maximum possible weight, in kilograms, of the lightest box?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1053
GPA: 3.39
Re: Three boxes of supplies have an average (arithmetic mean) weight of 7
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23 Nov 2022, 08:26
23 Nov 2022, 08:26
1
Expert Reply
Given: Three boxes of supplies have an average(arithmetic mean) weight of 7 kilograms and a median weight of 9kg.
Asked: What is the max possible weight, in kg, of the lightest box?
Let the weight of 3 boxes be {s, 9, l}
s + 9 + l = 21
l = 12 - s
Weights = {s, 9,12-s}
To maximize s, 12 -s is to be minimized.
12-s=9
s = 3
the max possible weight, in kg, of the lightest box = 3 kg
Answer: C
Asked: What is the max possible weight, in kg, of the lightest box?
Let the weight of 3 boxes be {s, 9, l}
s + 9 + l = 21
l = 12 - s
Weights = {s, 9,12-s}
To maximize s, 12 -s is to be minimized.
12-s=9
s = 3
the max possible weight, in kg, of the lightest box = 3 kg
Answer: C
gmatclubot
Re: Three boxes of supplies have an average (arithmetic mean) weight of 7 [#permalink]
23 Nov 2022, 08:26
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