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Difficulty: 505-555 Level,    Algebra,                         
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GMAT Club Legend
GMAT Club Legend
Joined: 19 Dec 2014
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Posts: 21843
Own Kudos [?]: 11716 [0]
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Location: United States (CA)
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Re: Thabo owns exactly 140 books, and each book is either paperback fictio [#permalink]
AbdurRakib wrote:
Thabo owns exactly 140 books, and each book is either paperback fiction, paperback nonfiction, or hardcover nonfiction. If he owns 20 more paperback nonfiction books than hardcover nonfiction books, and twice as many paperback fiction books as paperback nonfiction books, how many hardcover books nonfiction books does Thabo own?

A) 10
B) 20
C) 30
D) 40
E) 50

OG 2017 New Question



Given:
1. Thabo owns exactly 140 books, and each book is either paperback fiction, paperback nonfiction, or hardcover nonfiction.
2. he owns 20 more paperback nonfiction books than hardcover nonfiction books, and twice as many paperback fiction books as paperback nonfiction books,

Asked: how many hardcover books nonfiction books does Thabo own?

PF + PNF + HNF = 140
PNF = 20 + HNF
PF = 2 PNF

Q. HNF = ?

40 + 2 HNF + 20 + HNF + HNF = 140
HNF = 20

IMO B

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Re: Thabo owns exactly 140 books, and each book is either paperback fictio [#permalink]
total book 140 = PF +PN +HN

LET HN = X

PN = X + 20

PF = 2( X+20) = 2X +40

SO total = 2x+ 40 +x +20 +x =140

4x+60 = 140

4x = 80

x=20 ( Answer B)
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Re: Thabo owns exactly 140 books, and each book is either paperback fictio [#permalink]
Expert Reply
AbdurRakib wrote:
Thabo owns exactly 140 books, and each book is either paperback fiction, paperback nonfiction, or hardcover nonfiction. If he owns 20 more paperback nonfiction books than hardcover nonfiction books, and twice as many paperback fiction books as paperback nonfiction books, how many hardcover books nonfiction books does Thabo own?

A) 10
B) 20
C) 30
D) 40
E) 50

OG 2017 New Question


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Answer: Option B

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Re: Thabo owns exactly 140 books, and each book is either paperback fictio [#permalink]
1
Kudos
Expert Reply
Video solution from Quant Reasoning:
Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1
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Re: Thabo owns exactly 140 books, and each book is either paperback fictio [#permalink]
Expert Reply
­Thabo is absolutely crushing it:

GMAT Club Bot
Re: Thabo owns exactly 140 books, and each book is either paperback fictio [#permalink]
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