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# There were 36.000 hardback copies of a certain novel sold

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Manager
Status: May The Force Be With Me (D-DAY 15 May 2012)
Joined: 06 Jan 2012
Posts: 247
Location: India
Concentration: General Management, Entrepreneurship
There were 36.000 hardback copies of a certain novel sold [#permalink]

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Updated on: 08 Nov 2015, 23:07
4
1
00:00

Difficulty:

45% (medium)

Question Stats:

64% (01:52) correct 36% (02:11) wrong based on 196 sessions

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There were 36,000 hardback copies of a certain novel sold before the paperback version was issued. From the time the first paperback copy was sold until the last copy of the novel was sold 9 times as many paperback copies as hardback copies were sold. If a total of 441,000 copies of the novel were sold in all, how many paperback copies were sold?

A. 45,000
B. 360,000
C. 364,500
D. 392,000
E. 396,900

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Originally posted by boomtangboy on 31 Mar 2012, 21:08.
Last edited by Bunuel on 08 Nov 2015, 23:07, edited 2 times in total.
Edited the question
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Joined: 02 Sep 2009
Posts: 46217
Re: There were 36.000 hardback copies of a certain novel sold [#permalink]

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01 Apr 2012, 02:18
boomtangboy wrote:
There were 36,000 hardback copies of a certain novel sold before the paperback version was issued. From the time the first paperback copy was sold until the last copy of the novel was sold. 9 times as many paperback copies as hardback copies were sold. If a total of 441,000 copies of the novel were sold in all, how many paperback copies were sold?

A. 45,000
B. 360,000
C. 364,500
D. 392,000
E. 396,900

Say x was the # of hardback copies sold from the time the first paperback copy was sold.

Then the total # of paperback copies sold was 9x;
Hence the total # of copies sold was (hardback)+(paperback)=(36+x)+(9x)=441 --> x=40.5.

So, the total # of paperback copies sold was 9x=9*40.5=364.5 or 364,500.

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Re: There were 36.000 hardback copies of a certain novel sold [#permalink]

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04 Nov 2015, 03:24
36+9x+x=441

10x=405

x=40.5

9x=40.5*9=364.5

C
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Re: There were 36.000 hardback copies of a certain novel sold [#permalink]

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28 May 2016, 12:37
I used reverse plugging in to solve this problem.

*PB = paperback *HC = hardcopy
360000 PB/ 9 PB per HC = 40000 HC sold
360000+40000+36000 = 436000 copies sold
436000 < 441000 so I know the answer must be higher

Not even divisible by 9 so not a logical answer

396900 PB/ 9 PB per HC = 44100 HC
396900 + 44100 + 36000 > 441000

----> C is the correct answer
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Re: There were 36.000 hardback copies of a certain novel sold [#permalink]

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15 Aug 2017, 20:18
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Re: There were 36.000 hardback copies of a certain novel sold   [#permalink] 15 Aug 2017, 20:18
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