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

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25 Nov 2011, 13:55

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71% (01:57) correct
29% (00:49) wrong based on 139 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?

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

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03 Jan 2015, 04:05

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

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

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