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

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

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New post 07 Jul 2018, 08:43
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Question Stats:

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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

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Re: Arty, Martha, Jenny, and Ralph all set sales goals for the month of Ju  [#permalink]

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New post 07 Jul 2018, 09:45
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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
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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: Arty, Martha, Jenny, and Ralph all set sales goals for the month of Ju  [#permalink]

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New post 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)
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Re: Arty, Martha, Jenny, and Ralph all set sales goals for the month of Ju  [#permalink]

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New post 24 Jul 2018, 09:47
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Bunuel please correct the OA to B
OA is B
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Re: Arty, Martha, Jenny, and Ralph all set sales goals for the month of Ju  [#permalink]

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New post 24 Jul 2018, 09:54
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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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Arty, Martha, Jenny, and Ralph all set sales goals for the month of Ju

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