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The average (arithmetic mean) cost per hinge for 16 hinges t

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GMAT Club Legend
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Joined: 07 Jun 2014
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GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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The average (arithmetic mean) cost per hinge for 16 hinges t [#permalink] New post 22 Nov 2017, 19:09
Expert's post
00:00

Question Stats:

76% (00:29) correct 23% (00:18) wrong based on 13 sessions
Quantity A
Quantity B
The average (arithmetic mean) cost per hinge for 16 hinges that cost a total of 2p cents
The average (arithmetic mean) cost per hinge for 4 hinges that cost a total of \(\frac{p}{2}\) cents


A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.

Drill 2
Question: 10
Page: 526
[Reveal] Spoiler: OA

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Re: The average (arithmetic mean) cost per hinge for 16 hinges t [#permalink] New post 08 Dec 2017, 06:57
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Hi,

For QA
Cost per hinge is as follows
16/2p which is 8/p

For QB
Cost per hinge is 4/p÷2 which is 8/p

So C
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4711
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1614 [0], given: 376

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Re: The average (arithmetic mean) cost per hinge for 16 hinges t [#permalink] New post 29 Dec 2017, 14:06
Expert's post
Explanation

Plug in a value for p. Try p = 16: In Quantity A, then 16 hinges cost a total of 32 cents, for an average cost of 2 cents per hinge; in Quantity B, 4 hinges cost a total of 8 cents, for, again, an average cost of 2 cents per hinge.

The quantities are equal, so eliminate choices (A) and (B). Any value for p will yield the same results: The quantities will always equal; the
answer is choice C.

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Re: The average (arithmetic mean) cost per hinge for 16 hinges t   [#permalink] 29 Dec 2017, 14:06
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The average (arithmetic mean) cost per hinge for 16 hinges t

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