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A bookstore sells both new and old books. The unit price of new book i

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Afroditee
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A bookstore sells both new and old books. The unit price of new book i [#permalink] New post   12 Oct 2022, 11:28
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69% (02:44) correct 31% (02:47) wrong based on 32 sessions
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A bookstore sells both new and old books. The unit price of new book is $90, the average price all the old and new books is $60, and the total price of all the old books and all the new books are the same. What is the unit price of old book?

A.40

B.45

C.55

D.65

E.70
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B
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divyadna
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Re: A bookstore sells both new and old books. The unit price of new book i [#permalink] New post   12 Oct 2022, 12:45
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Answer is option B

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Re: A bookstore sells both new and old books. The unit price of new book i [#permalink] New post   10 Dec 2022, 13:44
divyadna wrote:
Answer is option B

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Hi, how did you find equation ..... 2 ?
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Re: A bookstore sells both new and old books. The unit price of new book i [#permalink] New post   10 Dec 2022, 14:06
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Afroditee wrote:
divyadna wrote:
Answer is option B

Posted from my mobile device

Hi, how did you find equation ..... 2 ?


Using this statement => The total price of all the old books and all the new books are the same
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Suvro1204
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Re: A bookstore sells both new and old books. The unit price of new book i [#permalink] New post   10 Dec 2022, 22:26
divyadna wrote:
Answer is option B

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How did you get (2/3ay) above the last line?
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divyadna
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Re: A bookstore sells both new and old books. The unit price of new book i [#permalink] New post   10 Dec 2022, 23:10
90x+ay=60x+60y
If 90x=ay
Multiply both sides by 2/3
90x*2/3= 2ay/3
60x=2ay/3

So, ay+ay= 2ay/3+60y
2ay-2ay/3=60y
4a/3=60
a=60*3/4=45$
Option B

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Re: A bookstore sells both new and old books. The unit price of new book i [#permalink] New post   10 Dec 2022, 23:11
gmatophobia wrote:
Afroditee wrote:
divyadna wrote:
Answer is option B

Posted from my mobile device

Hi, how did you find equation ..... 2 ?


Using this statement => The total price of all the old books and all the new books are the same

Thanks!
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gmatclubot
Re: A bookstore sells both new and old books. The unit price of new book i [#permalink]
10 Dec 2022, 23:11
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