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# If x + y= 8z, then which of the following represents the ave

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Math Expert
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If x + y= 8z, then which of the following represents the ave [#permalink]

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19 Feb 2014, 01:21
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The Official Guide For GMAT® Quantitative Review, 2ND Edition

If x + y= 8z, then which of the following represents the average (arithmetic mean) of x, y, and z, in terms of z ?

(A) 2z + 1
(B) 3z
(C) 5z
(D) z/3
(E) 3z/2

Problem Solving
Question: 104
Category: Arithmetic Percents
Page: 75
Difficulty: 550

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[Reveal] Spoiler: OA

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Re: If x + y= 8z, then which of the following represents the ave [#permalink]

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19 Feb 2014, 01:21
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SOLUTION

If x + y= 8z, then which of the following represents the average (arithmetic mean) of x, y, and z, in terms of z ?

(A) 2z + 1
(B) 3z
(C) 5z
(D) z/3
(E) 3z/2

The average of x, y and z equals to (x+y+z)/3 as x+y=8z then (x+y+)z/3=(8z+z)/3=9z/3=3z.

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Re: If x + y= 8z, then which of the following represents the ave [#permalink]

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19 Feb 2014, 02:48
Option B.
Average of x,y and z=>(x+y+z)/3
x+y=8z(given)
Replacing we get,9z/3=3z
Math Expert
Joined: 02 Sep 2009
Posts: 39702
Re: If x + y= 8z, then which of the following represents the ave [#permalink]

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22 Feb 2014, 06:06
SOLUTION

If x + y= 8z, then which of the following represents the average (arithmetic mean) of x, y, and z, in terms of z ?

(A) 2z + 1
(B) 3z
(C) 5z
(D) z/3
(E) 3z/2

The average of x, y and z equals to (x+y+z)/3 as x+y=8z then (x+y+)z/3=(8z+z)/3=9z/3=3z.

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Re: If x + y= 8z, then which of the following represents the ave [#permalink]

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24 Feb 2014, 05:06
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

If x + y= 8z, then which of the following represents the average (arithmetic mean) of x, y, and z, in terms of z ?

(A) 2z + 1
(B) 3z
(C) 5z
(D) z/3
(E) 3z/2

Problem Solving
Question: 104
Category: Arithmetic Percents
Page: 75
Difficulty: 550

GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

Average of x,y,z is (x+y+z)/3=(8z+z)/3=3z
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Joined: 09 Sep 2013
Posts: 15988
Re: If x + y= 8z, then which of the following represents the ave [#permalink]

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25 Sep 2015, 20:50
Hello from the GMAT Club BumpBot!

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Re: If x + y= 8z, then which of the following represents the ave [#permalink]

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12 Jan 2017, 12:29
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If x + y= 8z, then which of the following represents the ave [#permalink]

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12 Jan 2017, 15:29
Bunuel wrote:

If x + y= 8z, then which of the following represents the average (arithmetic mean) of x, y, and z, in terms of z ?

(A) 2z + 1
(B) 3z
(C) 5z
(D) z/3
(E) 3z/2

AM of x, y, z = (x+y+z)/3 = (8z+z)/3 = 3z

Correct Option: B
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Re: If x + y= 8z, then which of the following represents the ave [#permalink]

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13 Jan 2017, 04:47
x+y=8z then (x+y+)z/3=(8z+z)/3=9z/3=3z.
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Re: If x + y= 8z, then which of the following represents the ave [#permalink]

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16 Jan 2017, 18:03
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Bunuel wrote:

If x + y= 8z, then which of the following represents the average (arithmetic mean) of x, y, and z, in terms of z ?

(A) 2z + 1
(B) 3z
(C) 5z
(D) z/3
(E) 3z/2

We need to determine the average of x, y, and z. In other words:

(x + y + z)/3 = ?

Since x + y = 8z, we can substitute 8z for x + y in our average formula and we have:

(8z + z)/3 = 9z/3 = 3z

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Re: If x + y= 8z, then which of the following represents the ave   [#permalink] 16 Jan 2017, 18:03
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