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A certain bookstore sells only paperbacks and hardbacks. Eac

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A certain bookstore sells only paperbacks and hardbacks. Eac [#permalink] New post 25 May 2018, 09:45
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Question Stats:

77% (01:04) correct 22% (00:56) wrong based on 18 sessions
A certain bookstore sells only paperbacks and hardbacks. Each of the 200 paperbacks in stock sells for a price between $8 and $12, and each of the 100 hardbacks in stock sells for a price between $14 and $18.

Quantity A
Quantity B
The average price of the books in stock at the bookstore
$9.99


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: A certain bookstore sells only paperbacks and hardbacks. Eac [#permalink] New post 17 Jul 2018, 09:23
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Paperbacks sell between $8 and $12 and there are altogether 200 paperbacks.
Hence least price for the 200 paperbacks would be \(200 * 8 = 1600\)

While there are 100 hardcover and each sell for anything between $14 and $18
The least the hardcover could sell for is \(14* 100 = 1400\)

Therefore the least average would be \(\frac{1600+1400}{300} = 10\)
For any other combination of price for paperback and hardcover the avg would be more than 10
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Re: A certain bookstore sells only paperbacks and hardbacks. Eac   [#permalink] 17 Jul 2018, 09:23
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A certain bookstore sells only paperbacks and hardbacks. Eac

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