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# Arty, Martha, Jenny, and Ralph all set sales goals for the month of Ju

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Math Expert
Joined: 02 Sep 2009
Posts: 51229
Arty, Martha, Jenny, and Ralph all set sales goals for the month of Ju  [#permalink]

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07 Jul 2018, 08:43
1
3
00:00

Difficulty:

95% (hard)

Question Stats:

40% (01:54) correct 60% (01:42) wrong based on 58 sessions

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Arty, Martha, Jenny, and Ralph all set sales goals for the month of July. Arty and Ralph have the same sales goal, and the sum of Martha and Jenny’s sales goals is equal to twice the difference between Martha and Ralph’s sales goals. If Martha has a higher sales goal than does Ralph, what is the group’s average sales goal?

(1) Arty’s sales goal is $50,000 (2) Martha’s sales goal is 60,000 _________________ Math Expert Joined: 02 Aug 2009 Posts: 7108 Re: Arty, Martha, Jenny, and Ralph all set sales goals for the month of Ju [#permalink] ### Show Tags 07 Jul 2018, 09:45 1 Bunuel wrote: Arty, Martha, Jenny, and Ralph all set sales goals for the month of July. Arty and Ralph have the same sales goal, and the sum of Martha and Jenny’s sales goals is equal to twice the difference between Martha and Ralph’s sales goals. If Martha has a higher sales goal than does Ralph, what is the group’s average sales goal? (1) Arty’s sales goal is$50,000

(2) Martha’s sales goal is 60,000

A=R
M+J=2(M-R)..........M+J=2M-2R.............J=M-2R
groups average = $$\frac{A+R+M+J}{4}=\frac{A+A+M+M-2A}{4}=\frac{2M}{4}$$
we require M's value

(1) Arty’s sales goal is $50,000 M not known insuff (2) Martha’s sales goal is 60,000 M is given avg = 30000 suff B _________________ 1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html GMAT online Tutor Director Status: Learning stage Joined: 01 Oct 2017 Posts: 931 WE: Supply Chain Management (Energy and Utilities) Re: Arty, Martha, Jenny, and Ralph all set sales goals for the month of Ju [#permalink] ### Show Tags 07 Jul 2018, 10:43 Bunuel wrote: Arty, Martha, Jenny, and Ralph all set sales goals for the month of July. Arty and Ralph have the same sales goal, and the sum of Martha and Jenny’s sales goals is equal to twice the difference between Martha and Ralph’s sales goals. If Martha has a higher sales goal than does Ralph, what is the group’s average sales goal? (1) Arty’s sales goal is$50,000

(2) Martha’s sales goal is 60,000

Question stem:-
Average sales goal=?

Given, A=R, J+R=2(M-R) or, J=M-2R
Total no of goals=A+M+J+R=A+R+2(M-R)=A+R+2M-2R=A-R+2M=A-A+2M=2M
Or, Total no of goals=A+M+J+R=A+R+J+J+2R=A+A+2J+2R=4A+2J
So, Average sales goal=$$\frac{2M}{4}=\frac{M}{2}$$------------(a)
Or, Average sales goal=$$\frac{4A+2J}{4}$$-------------------------------------------(b)

St1:- A=$50,000, from (a) & (b),we need M or J to determine average sales goal.So, not sufficient. St2:- M=$60,000, from(a), we can determine average sales goal, So, sufficient.

Ans. (B)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Director
Joined: 20 Sep 2016
Posts: 547
Re: Arty, Martha, Jenny, and Ralph all set sales goals for the month of Ju  [#permalink]

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24 Jul 2018, 09:47
1
Bunuel please correct the OA to B
OA is B
Math Expert
Joined: 02 Sep 2009
Posts: 51229
Re: Arty, Martha, Jenny, and Ralph all set sales goals for the month of Ju  [#permalink]

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24 Jul 2018, 09:54
Bunuel please correct the OA to B
OA is B

__________________
Edited. Thank you.
_________________
Re: Arty, Martha, Jenny, and Ralph all set sales goals for the month of Ju &nbs [#permalink] 24 Jul 2018, 09:54
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