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QOTD#22 Ben’s music album sold the number of copies as Regin

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Joined: 07 Jun 2014
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GRE 1: Q167 V156
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QOTD#22 Ben’s music album sold the number of copies as Regin [#permalink]  30 Apr 2017, 14:02
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Question Stats:

20% (00:44) correct 80% (01:25) wrong based on 10 sessions
Ben’s music album sold $$\frac{5}{6}$$ the number of copies as Regina’s album. If Regina’s album sold at least 1,500 copies more than Ben’s album, how many copies of Ben’s album were sold?

Indicate all possible values.

A. 12,000
B. 11,244
C. 9,000
D. 6,500
E. 6,436
F. 4,225

A, C

Drill 4
Question: 9
Page: 322-323
[Reveal] Spoiler: OA

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Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 118

Kudos [?]: 1899 [2] , given: 397

Re: QOTD#22 Ben’s music album sold the number of copies as Regin [#permalink]  04 May 2017, 01:14
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Explanation

To solve this question, plug in the answers. In choice (D), if Ben, B, sold 6500 copies and $$B = \frac{5}{6} \times R$$ then $$6500 = \frac{5}{6} \times R$$, so Regina, R, sold 7800 copies, thus giving a difference of 7800 − 6500 = 1300. Since this is too small, eliminate choices (D), (E), and (F) and try larger numbers.

In choice (C), if B = 9000, then $$9000 = \frac{5}{6} \times R$$, so R = 10,800, thus giving 10,800 − 9000 = 1800; since this is bigger than 1500, keep choice (C).

In choice (B), if B = 11,244, then $$11,244 = \frac{5}{6} \times R$$, so R = 13,492.8 copies; eliminate choice (B), as it is impossible to sell a fraction of an album.

In choice (A), if B = 12,000, then $$12,000 = \frac{5}{6} \times R$$, so R = 14,400 and 14,400 − 12,000 = 2400. Since this is bigger than 1500, keep choice (A).

The correct answers are choices (A) and (C).
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Kudos [?]: 25 [0], given: 22

Re: QOTD#22 Ben’s music album sold the number of copies as Regin [#permalink]  15 Jun 2019, 09:22
Let's Rogina=6x, Ben=5x
where x= no. of albums, which must be a positive integer.
therefore, 6x-5x is greater than or equal to 1500.
or, x is greater than or equal to 1500, So Ben sells at least 5x or 5*1500 or 7500 albums .
by this logic, 5x =9000 as x is an integer when 9000/5;
similarly, 5x=11,244 is not possible as 11244/5 is not an integer.
the same goes valid with other options.
Re: QOTD#22 Ben’s music album sold the number of copies as Regin   [#permalink] 15 Jun 2019, 09:22
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