Question

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 1

`y=(x)/(2)`

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
`(2)/(3)` of all shoes sold are black

So
`(2)/(3)(x+y)=x`

`y=(x)/(2)`

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