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# A bookstore stocks 1/5 of its books as fiction works, and 1/3 less tha

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Math Expert
Joined: 02 Sep 2009
Posts: 60646
A bookstore stocks 1/5 of its books as fiction works, and 1/3 less tha  [#permalink]

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31 Oct 2018, 02:24
00:00

Difficulty:

35% (medium)

Question Stats:

66% (01:46) correct 34% (01:31) wrong based on 74 sessions

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A bookstore stocks 1/5 of its books as fiction works, and 1/3 less than the fiction books as self-help books. What fraction of the total books are the fiction and self-help books?

A. 3/5
B. 11/30
C. 4/15
D. 2/15
E. 1/3

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Joined: 09 Jun 2018
Posts: 183
Location: United States
Schools: Ross '22 (II)
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Re: A bookstore stocks 1/5 of its books as fiction works, and 1/3 less tha  [#permalink]

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01 Nov 2018, 13:17
Fiction = 1/5
Self help = (1/5) - (1/3)*(1/5) = (1/5) - (1/15) = 2/15

Total asked = 2/15 + 1/5 = 1/3

Option E
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Re: A bookstore stocks 1/5 of its books as fiction works, and 1/3 less tha  [#permalink]

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01 Nov 2018, 20:12
Bunuel wrote:
A bookstore stocks 1/5 of its books as fiction works, and 1/3 less than the fiction books as self-help books. What fraction of the total books are the fiction and self-help books?

A. 3/5
B. 11/30
C. 4/15
D. 2/15
E. 1/3

Let total number of books be $$= 30$$

Fiction books $$= \frac{1}{5}$$ of total books $$= \frac{1}{5} * 30 = 6$$

Self help books $$=$$ fiction books $$-$$ $$\frac{1}{3}$$ of fiction books $$= 6 - \frac{1}{3}* 6 = 6 - 2 = 4$$

Total number of fiction books and self help books $$= 6 + 4 = 10$$

Hence the fraction of fiction and self-help books to the total books $$= \frac{10}{30} = \frac{1}{3}$$

Answer E
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Re: A bookstore stocks 1/5 of its books as fiction works, and 1/3 less tha  [#permalink]

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02 Nov 2018, 17:07
Bunuel wrote:
A bookstore stocks 1/5 of its books as fiction works, and 1/3 less than the fiction books as self-help books. What fraction of the total books are the fiction and self-help books?

A. 3/5
B. 11/30
C. 4/15
D. 2/15
E. 1/3

We can let n = the total number of books and create the equations:

n/5 = fiction

and

n/5 x 2/3 = 2n/15 = self-help

Thus, fiction and self-help books are n/5 + 2n/15 = 3n/15 + 2n/15 = 5n/15 = n/3.

Answer: E
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Re: A bookstore stocks 1/5 of its books as fiction works, and 1/3 less tha   [#permalink] 02 Nov 2018, 17:07
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# A bookstore stocks 1/5 of its books as fiction works, and 1/3 less tha

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