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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 shoe

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by BTGmoderatorDC » Sat Apr 11, 2020 11:22 pm
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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


OA B

Source: Manhattan Prep
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Re: A certain store sells only black shoes and brown shoes. In a certain week, the store sold x black shoes and y brown

by Jay@ManhattanReview » Sun Apr 12, 2020 8:23 pm
BTGmoderatorDC wrote: ↑
Sat Apr 11, 2020 11:22 pm
 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

OA B

Source: Manhattan Prep
Total number of shoes sold = x + y;

Thus, x = 2/3 of (x + y)

x = 2x/3 + 2y/3

x/3 = 2y/3

y = x/2

The correct answer: B

Hope this helps!

-Jay
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Re: A certain store sells only black shoes and brown shoes. In a certain week, the store sold x black shoes and y brown

by Scott@TargetTestPrep » Fri Apr 17, 2020 9:40 am
BTGmoderatorDC wrote: ↑
Sat Apr 11, 2020 11:22 pm
 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


OA B

Source: Manhattan Prep
We can create the equation:

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

3x = 2(x + y)

3x = 2x + 2y

x = 2y

x/2 = y

Answer: B

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