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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

Answer :

Answer:

[tex]y=\frac{x}{2}[/tex]

Step-by-step explanation:

Let total x black and y brown shoes are sold in a week

So total number of shoes sold in a week is = x+y

It is given that [tex]\frac{2}{3}[/tex] of all shoes sold are black

So [tex]\frac{2}{3}(x+y)=x[/tex]

[tex]y=\frac{x}{2}[/tex]

So the number of brown shoes sold in a week in terms of black shoes are x/2

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