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# In a certain classroom, there are 80 books, of which 24 are

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In a certain classroom, there are 80 books, of which 24 are [#permalink]

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16 Jul 2012, 03:54
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In a certain classroom, there are 80 books, of which 24 are fiction and 23 are written in Spanish. How many of the fiction books are written in Spanish?

(1) Of the fiction books, there are 6 more that are not written in Spanish than are written in Spanish.
(2) Of the books written in Spanish, there are 5 more nonfiction books than fiction books.

Diagnostic Test
Question: 47
Page: 26
Difficulty: 650
[Reveal] Spoiler: OA

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Re: In a certain classroom, there are 80 books, of which 24 are [#permalink]

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16 Jul 2012, 12:07
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SOLUTION

In a certain classroom, there are 80 books, of which 24 are fiction and 23 are written in Spanish. How many of the fiction books are written in Spanish?

Given:

(1) Of the fiction books, there are 6 more that are not written in Spanish than are written in Spanish.

So, $$x+x+6=24$$ --> $$x=9$$. Sufficient.

(2) Of the books written in Spanish, there are 5 more nonfiction books than fiction books.

So, $$x+x+5=23$$ --> $$x=9$$. Sufficient.

Answer: D. (Total # of books is redundant information).

Hope it's clear.
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Re: In a certain classroom, there are 80 books, of which 24 are [#permalink]

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17 Jul 2012, 21:26
From the first statement: x+(x+6)=24, so x=9 (fiction books written in Spanish).
from st. 2: x+(x+5)=23, x=9 (fiction books written in Spanish)

Both statements separetely suff., so answer D.

I wonder why they provide total number of books (80 books), maybe i am missing something?
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Re: In a certain classroom, there are 80 books, of which 24 are [#permalink]

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17 Jul 2012, 21:50
Answer is D , as we can use both the statements to arrive at a unique solution

statement 1: (1) Of the fiction books, there are 6 more that are not written in Spanish than are written in Spanish.

total fiction books = 24, so ( x+ x+6 = 24) where x is the fiction books in spanish

statement 2 states that
(2) Of the books written in Spanish, there are 5 more nonfiction books than fiction books.

so x + x+ 5 = 23 , where x is the fiction books in spanish

as we can arrive at a unique solution from both statements alone ... answer is d

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Re: In a certain classroom, there are 80 books, of which 24 are [#permalink]

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17 Jul 2012, 22:20
D is my answer because both option is sufficent alone.
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Re: In a certain classroom, there are 80 books, of which 24 are [#permalink]

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03 Dec 2013, 21:13
IT IS still ven diagram

call x= number of book fiction in spanish

we have
24-x, x and 23-x

from 1
(24-x) -x=6
we can get x
from 2
(23-x) -x =5
we can get x

oa is d
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Re: In a certain classroom, there are 80 books, of which 24 are [#permalink]

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22 Mar 2016, 14:59
Can some one explain this problem with proper Venn diagram ?

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In a certain classroom, there are 80 books, of which 24 are [#permalink]

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22 Mar 2016, 15:51
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shekharshrek wrote:
Can some one explain this problem with proper Venn diagram ?

The 2X2 matrix is a variation of the venn diagram method and will help you solve the questions correctly and in lesser time than venn diagrams.

But for the sake of your question, refer to the attached image for description of the variables.

Attachment:

2016-03-22_19-44-42.jpg [ 18.34 KiB | Viewed 2896 times ]

Spanish = b+c = 23

Fiction = a+b = 24

Per the question, total books = 80=a+b+c+d (d = not fiction and not Spanish)

The question asks us the value of b = ?

Per statement 1, a = 6+b ---> clearly sufficient, b=9

Per statement 2, c = 5+b ---> clearly sufficient, b=9

Both statements are sufficient.

Hope this helps.

Learn good strategies to answer questions and not just solving questions blindly.

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Re: In a certain classroom, there are 80 books, of which 24 are [#permalink]

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23 Mar 2016, 10:43
Engr2012

Thanks , can you please focus more on the exact meaning of these 2 statements which are highlighted in accordance with the equation above.

1) Of the fiction books, there are 6 more that are not written in Spanish than are written in Spanish.
(2) Of the books written in Spanish, there are 5 more nonfiction books than fiction books.

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Re: In a certain classroom, there are 80 books, of which 24 are [#permalink]

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23 Mar 2016, 10:59
shekharshrek wrote:
Engr2012

Thanks , can you please focus more on the exact meaning of these 2 statements which are highlighted in accordance with the equation above.

1) Of the fiction books, there are 6 more that are not written in Spanish than are written in Spanish.
(2) Of the books written in Spanish, there are 5 more nonfiction books than fiction books.

Sure, if you look at the venn diagram, statement 1 mentions that "there are 6 more that are not written in Spanish than are written in Spanish"

---> Total fiction books = a+b, fiction + Spanish books = b , fiction and NOT Spanish = a

Thus, per the statement, fiction + NOT Spanish = 6 + (fiction+Spanish) ---> a = 6+b

Similarly, per statement 2, total Spanish books = b+c ---> Spanish ONLY = c and Spanish + fiction = b ---> c=b+5

Hope this helps.

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Re: In a certain classroom, there are 80 books, of which 24 are [#permalink]

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29 Nov 2017, 05:27
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Re: In a certain classroom, there are 80 books, of which 24 are   [#permalink] 29 Nov 2017, 05:27
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