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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
The average (arithmetic mean) cost per book for the 12 books on a cert
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22 Apr 2022, 08:01
22 Apr 2022, 08:01
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Question Stats:
66% (01:00) correct
33% (01:46) wrong based on 3 sessions
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The average (arithmetic mean) cost per book for the 12 books on a certain table is k dollars. If a book that costs 18 dollars is removed from the table and replaced by a book that costs 42 dollars, then in terms of k, what will be the average cost per book, in dollars, for the books in the table?
A) k+2
B) k - 2
C) 12+ 24/k
D) 12- 24/k
E) 12k-6
A) k+2
B) k - 2
C) 12+ 24/k
D) 12- 24/k
E) 12k-6
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
Re: The average (arithmetic mean) cost per book for the 12 books on a cert
[#permalink]
26 Apr 2022, 09:57
26 Apr 2022, 09:57
Expert Reply
Explanation
\(Average = \frac{Total Cost}{number of books}\)
Let S be the sum of costs of all the books.
\(K = \frac{S}{12}\)
One book costing 18 is replaced with one costing 42.
Sum of costs = (S-18) + 42 = S+24
Average = \(\frac{(S+24)}{12}\)
= \(\frac{S}{12}\) +2
= \(K+2\)
Answer: A
\(Average = \frac{Total Cost}{number of books}\)
Let S be the sum of costs of all the books.
\(K = \frac{S}{12}\)
One book costing 18 is replaced with one costing 42.
Sum of costs = (S-18) + 42 = S+24
Average = \(\frac{(S+24)}{12}\)
= \(\frac{S}{12}\) +2
= \(K+2\)
Answer: A
gmatclubot
Re: The average (arithmetic mean) cost per book for the 12 books on a cert [#permalink]
26 Apr 2022, 09:57
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