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505-555 (Easy)|   Algebra|                              
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AbdurRakib
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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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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AbdurRakib
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



Answer: Option B

Video solution by GMATinsight

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Video solution from Quant Reasoning:
Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1
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­Thabo is absolutely crushing it:

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A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

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