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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

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).

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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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.

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

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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