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In 2007, the arithmetic mean of the annual incomes of Jack and Jill

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SVP
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Status: Preparing GMAT
Joined: 02 Nov 2016
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Location: Pakistan
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In 2007, the arithmetic mean of the annual incomes of Jack and Jill  [#permalink]

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New post 17 Dec 2016, 09:33
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Difficulty:

  15% (low)

Question Stats:

92% (01:52) correct 8% (05:05) wrong based on 41 sessions

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In 2007, the arithmetic mean of the annual incomes of Jack and Jill was $3800. The arithmetic mean
of the annual incomes of Jill and Jess was $4800, and the arithmetic mean of the annual incomes of
Jess and Jack was $5800. What is the arithmetic mean of the incomes of the three?

(A) $4000
(B) $4200
(C) $4400
(D) $4800
(E) $5000

Source: NOVA GMAT

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Re: In 2007, the arithmetic mean of the annual incomes of Jack and Jill  [#permalink]

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New post 17 Dec 2016, 10:23
1
SajjadAhmad wrote:
In 2007, the arithmetic mean of the annual incomes of Jack and Jill was $3800. The arithmetic mean
of the annual incomes of Jill and Jess was $4800, and the arithmetic mean of the annual incomes of
Jess and Jack was $5800. What is the arithmetic mean of the incomes of the three?

(A) $4000
(B) $4200
(C) $4400
(D) $4800
(E) $5000

Source: NOVA GMAT

press +1 Kudos if you liked :)


(Sal Jack + Sal Jill) / 2 = 3800

Sal Jack + Sal Jill = 7600

Same logic for other cases

S Jill + S Jess = 9600

S Jess + S Jill = 11600

Add all of them up

2 * S Jack + 2* S Jill + 2* Jess = 28800

(S Jack + S Jill + S Jess) = 28800 / 6 = 4800

Answer D

Names are not very comfortable for calculation :(
SVP
SVP
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Status: Preparing GMAT
Joined: 02 Nov 2016
Posts: 1928
Location: Pakistan
GPA: 3.39
Premium Member CAT Tests
Re: In 2007, the arithmetic mean of the annual incomes of Jack and Jill  [#permalink]

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New post 17 Dec 2016, 10:31
vitaliyGMAT wrote:
SajjadAhmad wrote:
In 2007, the arithmetic mean of the annual incomes of Jack and Jill was $3800. The arithmetic mean
of the annual incomes of Jill and Jess was $4800, and the arithmetic mean of the annual incomes of
Jess and Jack was $5800. What is the arithmetic mean of the incomes of the three?

(A) $4000
(B) $4200
(C) $4400
(D) $4800
(E) $5000

Source: NOVA GMAT

press +1 Kudos if you liked :)


(Sal Jack + Sal Jill) / 2 = 3800

Sal Jack + Sal Jill = 7600

Same logic for other cases

S Jill + S Jess = 9600

S Jess + S Jill = 11600

Add all of them up

2 * S Jack + 2* S Jill + 2* Jess = 28800

(S Jack + S Jill + S Jess) = 28800 / 6 = 4800

Answer D

Names are not very comfortable for calculation :(


Dont worry dude, next time i will post with names like, Raam and Shaam , Karun and Arjun... :-D :-D :-D
_________________

Final days of the GMAT Exam? => All GMAT Flashcards.
This Post Helps = Press +1 Kudos
Best of Luck on the GMAT!!

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Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: In 2007, the arithmetic mean of the annual incomes of Jack and Jill  [#permalink]

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New post 02 Jul 2018, 08:50
1
SajjadAhmad wrote:
In 2007, the arithmetic mean of the annual incomes of Jack and Jill was $3800. The arithmetic mean
of the annual incomes of Jill and Jess was $4800, and the arithmetic mean of the annual incomes of
Jess and Jack was $5800. What is the arithmetic mean of the incomes of the three?

(A) $4000
(B) $4200
(C) $4400
(D) $4800
(E) $5000


We can let the incomes of Jack, Jill, and Jess = a, b, and c, respectively, and create the equations:

a + b = 7600

and

b + c = 9600

and

a + c = 11600

Adding these together:

2a + 2b + 2c = 28,800

a + b + c = 14,400

So the average of all 3 numbers is 14,400/3 = 4,800,

Answer: D
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Re: In 2007, the arithmetic mean of the annual incomes of Jack and Jill &nbs [#permalink] 02 Jul 2018, 08:50
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