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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
_________________
A. x/3
B. x/2
C. 2x/3
D. 3x/2
E. 2x
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sujoykrdatta
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Expert reply
GMAT 1: 750 Q51 V39
Posts: 598
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?
Solution:
2/3 of all shoes sold were black
=> Out of a total of 3 shoes, 2 were black , and hence, 1 was brown
Since the store sold x black shoes and y brown shoes, we have:
x equivalent to 2 and y equivalent to 1
=> y = x/2
Answer B
_________________
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?
Solution:
2/3 of all shoes sold were black
=> Out of a total of 3 shoes, 2 were black , and hence, 1 was brown
Since the store sold x black shoes and y brown shoes, we have:
x equivalent to 2 and y equivalent to 1
=> y = x/2
Answer B
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Personalized Tutoring: one-on-one / in-group | Recorded Course hosted on Topmate
1. Recorded GMAT course with 8 month access & support (DM for access)
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let total shoes x+y = 6
so black ; x ; 4 and y = 2
from given options ; plugin x =4 and we get y value at x/2
IMO B
so black ; x ; 4 and y = 2
from given options ; plugin x =4 and we get y value at x/2
IMO B
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Posts: 22,742
Bunuel
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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Posts: 34
Total no. of shoes sold in the week =(x+y)
2/3rd of those sold shoes were black . So 2/3(x+y) = x.
Solving this gives y= x/2.
Option B.
2/3rd of those sold shoes were black . So 2/3(x+y) = x.
Solving this gives y= x/2.
Option B.
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