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

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SVP
Status: Preparing GMAT
Joined: 02 Nov 2016
Posts: 1928
Location: Pakistan
GPA: 3.39
In 2007, the arithmetic mean of the annual incomes of Jack and Jill  [#permalink]

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17 Dec 2016, 09:33
1
00:00

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

press +1 Kudos if you liked

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Senior Manager
Joined: 13 Oct 2016
Posts: 367
GPA: 3.98
Re: In 2007, the arithmetic mean of the annual incomes of Jack and Jill  [#permalink]

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17 Dec 2016, 10:23
1
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

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

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

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

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17 Dec 2016, 10:31
vitaliyGMAT 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

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

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

Names are not very comfortable for calculation

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

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

Target Test Prep Representative
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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02 Jul 2018, 08:50
1
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

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

a + b + c = 14,400

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

_________________

Jeffery Miller

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

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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