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# A certain store sells only black shoes and brown shoes. In a certain

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A certain store sells only black shoes and brown shoes. In a certain  [#permalink]

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Updated on: 24 Dec 2014, 04:24
1
00:00

Difficulty:

25% (medium)

Question Stats:

74% (01:27) correct 26% (01:46) wrong based on 246 sessions

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A certain store sells only black shoes and brown shoes. In a certain week, the store sold x black shoes and y brown shoes. If 2/3 of all shoes sold that week were black, which of the following expressions represents the value of y, in terms of x?

A. x/3
B. x/2
C. 2x/3
D. 3x/2
E. 2x

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Originally posted by manalq8 on 25 Nov 2011, 14:55.
Last edited by Bunuel on 24 Dec 2014, 04:24, edited 1 time in total.
Renamed the topic and edited the question.
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Re: A certain store sells only black shoes and brown shoes. In a certain  [#permalink]

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25 Nov 2011, 15:31
2
1
x/(x+y) = 2/3
3x = 2x+2y
x = 2y
y = x/2

B
Senior Manager
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Re: A certain store sells only black shoes and brown shoes. In a certain  [#permalink]

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24 Dec 2014, 04:20
4
Assume the store sold 30 shoes.

Black shoes=20 and Brown=10.
So brown shoes are half(1\2) of black shoes.
Ans B.
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A certain store sells only black shoes and brown shoes. In a certain  [#permalink]

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31 Dec 2014, 00:20
2
2
Total shoes sold = x+y

Given that $$\frac{2}{3} rd$$ of total shoes sold are black

$$\frac{2}{3} (x+y) = x$$

$$y = \frac{x}{2}$$

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Re: A certain store sells only black shoes and brown shoes. In a certain  [#permalink]

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03 Jan 2015, 05:05
3
I also used the same approach as PareshGmat, but I would like to post a more detailed solution:

Let's say that x is the number of black shoes sold and y the number of brown shoes sold.
Then, x+y is the total number of shoes that were sold. [1]
2/3 of the total shoed sold (x+y) were black (x): this translates in 2/3 of x+y, which is 2/3*(x+y).

Then, [1] becomes:
x+y= 2/3(x+y) + y
x+y - 2/3(x+y) = y
x+y - (2x+2y)/3 = y
[3(x+y)-2x+2y]/3 = y
(3x+3y-2x+2y)/3= y
(x+y)/3=y
x+y = 3y
x= 2y
y=x/2 B
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A certain store sells only black shoes and brown shoes. In a certain  [#permalink]

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02 Jul 2017, 15:00
1
Total number of shoes sold = x+y----------Given
Now,$$\frac{2}{3}$$of the total, i.e $$\frac{2}{3}*(x+y) = x$$ (black shoes)-----------------Given

$$x+y = \frac{3}{2}x$$
$$y=\frac{3}{2}x - x$$
$$y=\frac{x}{2}$$
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Re: A certain store sells only black shoes and brown shoes. In a certain  [#permalink]

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17 Aug 2018, 03:24
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Re: A certain store sells only black shoes and brown shoes. In a certain   [#permalink] 17 Aug 2018, 03:24
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