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Thabo owns exactly 140 books, and each book is either paperback fictio

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

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New post 02 Jul 2019, 13:33
Hi manish0709,

If you're not sure how to properly 'translate' a Quant sentence into an equation, it can often help to come up with a simple example as a reference (and then use that example to create your equation). In this prompt, we're told that Thabo has "twice as many paperback fiction books as paperback nonfiction books." Thus, he has MORE paperback FICTION books than paperback NONFICTION books.

Based on just this information, Thabo might have 10 paperback FICTION books and 5 paperback NONFICTION books. Thus, to get the number of paperback FICTION books, we have to DOUBLE the number of paperback NONFICTION books.

Paperback FICTION = 2(Paperback NONFICTION)

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

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New post 02 Jul 2019, 13:58
Cheryl purchased 5 identical hollow pine doors and 6 identical solid oak doors for the house she is building. The regular price of each solid oak door was twice the regular price of each hollow pine door. However, Cheryl was given a discount of 25% off the regular price of each solid oak door. If the regular price of each hollow pine door was $40, what was the total price of all 11 doors?
A. $320
B. $540
C. $560
D. $620
E. $680
in this question "The regular price of each solid oak door was twice the regular price of each hollow pine door" is this different from the thabo question?
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Re: Thabo owns exactly 140 books, and each book is either paperback fictio  [#permalink]

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New post 02 Jul 2019, 18:15
Hi manish0709,

Both examples relate a variable to a second variable by multiplication (in this case, by 2), so the basic math concept is the same. In the Thabo question, we're dealing with the NUMBER of two items, whereas in this question, we're dealing with the PRICES of two items.

"The regular price of each solid oak door was twice the regular price of each hollow pine door"

This means that if we multiply the regular price of a hollow pine door, then we'll have the regular price of a solid oak door. For example, if the price of a regular hollow pine door is $5, then the price of a regular solid oak door would be $10. Thus:

(Price of regular oak door) = 2(Price of regular pine door)

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

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New post 15 Sep 2019, 04:08
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]

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New post 17 Jan 2020, 20:46
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] 17 Jan 2020, 20:46

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