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

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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, 08:05
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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, 07:01
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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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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, 19:22
(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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New post 24 Oct 2018, 14:02
MathRevolution wrote:
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

\(?\,\, = {\rm{both}}\,\,\, = \,\,\,f\left( {x,y} \right)\)

Image


\(x + y - {\rm{both}} = 3x\,\,\,\,\,\,\left[ {\,{\rm{simplifier}}\,} \right]\,\,\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,\,\,?\,\, = \,\,y - 2x\,\,\,\,\,\)


This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.
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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 30 Oct 2018, 01:11
Hi MathRevolution

The sentence "If the total mailing lists’ number combined Company A and Company B is equal to 3 times the mailing lists’ number of Company A" was quite ambiguous for me.
After giving it some thought, I understood the answer, but I'm not sure I wont repeat my mistake.
Could you please tell me where I got wrong if I read it as X+Y=3X?

Thank you!
GMAT Club Bot
Re: Company A has x mailing lists and Company B has y mailing lists. If th   [#permalink] 30 Oct 2018, 01:11
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