There were 36,000 hardback copies of a certain novel sold

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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

OA C.

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by [email protected] » Sat Nov 10, 2018 8:26 am
AAPL 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
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
Let x = number of hardback copies sold during this time
So 9x = number of paperback copies sold during this time
So, x + 9x = total number of copies sold DURING THIS TIME PERIOD

A total of 441,000 copies of the novel were sold in all
GIVEN: 36,000 hardback copies sold BEFORE the paperback version was issued.
So, we get: 36,000 + x + 9x = 441,000
Simplify: 36,000 + 10x = 441,000
We get: 10x = 405,000
Solve: x = 40,500
This also means 9x = 9(40,500) = 364,500

So, 364,500 paperback copies were

Answer: C

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AAPL wrote:
Sat Nov 10, 2018 5:09 am
GMAT Paper Tests

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

OA C.
Solution:

From the time that the paperback version of the novel was issued until the last copy of the novel was sold, the total number of novels sold was 441,000 - 36,000 = 405,000. We are told that 9 times as many paperbacks were sold as hardbacks during this time. Thus, if we let h = the number of hardback copies sold, then 9h will be the number of paperbacks sold.

Using the above information, we can create the equation:

h + 9h = 405,000

10h = 405,000

h = 40,500

Thus, the number of paperbacks sold during this period is 9h = 9 x 40,500 = 364,500.

Answer: C

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