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Company A has x mailing lists and Company B has y mailing lists. If th

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Math Revolution GMAT Instructor
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Company A has x mailing lists and Company B has y mailing lists. If th  [#permalink]

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New post 14 Jun 2016, 09:05
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

62% (01:14) correct 38% (01:37) wrong based on 86 sessions

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Company A has x mailing lists and Company B has y mailing lists. If the total mailing lists’ number combined Company A and Company B is equal to 3 times the mailing lists’ number of Company A, what is the number of mailing lists that both Company A and Company B have, in terms of x and y?
A. 2x-y
B. y-2x
C. 3x+y
D. y+2x
E. y-3x

*An answer will be posted in 2 days.

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Re: Company A has x mailing lists and Company B has y mailing lists. If th  [#permalink]

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New post 16 Jun 2016, 08:01
1
a - lists that are only part of Company A ( A not B )
b - lists that are only part of Company B ( B not A )
c - lists that are part of both company A & B ( This is the overlap portion of the venn diagram)

X mailing lists = a + c
Y mailing lists = b + c

Total = X + Y - Both = a+c + b+c - c = a+b+c

As per the question

a+b+c = 3(a+c) --> b = 2(a + c) --> b = 2X

Y = 2X + c

c = Y-2X
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Math Revolution GMAT Instructor
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Re: Company A has x mailing lists and Company B has y mailing lists. If th  [#permalink]

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New post 16 Jun 2016, 20:22
(x-b)+b+(y-b)=3x, x+y-b=3x , therefore b=y-2x. Hence, the correct answer is B.
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Re: Company A has x mailing lists and Company B has y mailing lists. If th  [#permalink]

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Re: Company A has x mailing lists and Company B has y mailing lists. If th &nbs [#permalink] 22 Oct 2017, 05:02
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