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

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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4750
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1664 [0], given: 396

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QOTD#22 Ben’s music album sold the number of copies as Regin [#permalink] New post 30 Apr 2017, 14:02
Expert's post
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Question Stats:

40% (00:44) correct 60% (00:32) wrong based on 5 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

[Reveal] Spoiler: Answer
A, C


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

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Sandy
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2 KUDOS received
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4750
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1664 [2] , given: 396

CAT Tests
Re: QOTD#22 Ben’s music album sold the number of copies as Regin [#permalink] New post 04 May 2017, 01:14
2
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Expert's post
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).
_________________

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

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