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# How many black shoes were sold by Shepard’s Shoe Emporium?

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Math Expert
Joined: 02 Sep 2009
Posts: 50544
How many black shoes were sold by Shepard’s Shoe Emporium?  [#permalink]

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14 Feb 2016, 10:11
00:00

Difficulty:

25% (medium)

Question Stats:

76% (00:30) correct 24% (00:24) wrong based on 34 sessions

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How many black shoes were sold by Shepard’s Shoe Emporium?

(1) Three-quarters of the shoes sold were brown.
(2) The Emporium sold 1,284 left shoes.

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Re: How many black shoes were sold by Shepard’s Shoe Emporium?  [#permalink]

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14 Feb 2016, 11:56
Bunuel wrote:
How many black shoes were sold by Shepard’s Shoe Emporium?

(1) Three-quarters of the shoes sold were brown.
(2) The Emporium sold 1,284 left shoes.

(1) Three-quarters of the shoes sold were brown.
If Black and Brown were the only color of shoes sold by Shepard’s Shoe Emporium , then 1/4 of total shoes sold would have been black .
But we do not know if there were other color besides black or if any black shoe was sold at all.
Not Sufficient

(2) The Emporium sold 1,284 left shoes
Total number of shoes sold = 1284 as shoes are generally sold in pairs.
Not sufficient

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Re: How many black shoes were sold by Shepard’s Shoe Emporium?  [#permalink]

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09 Dec 2017, 15:24
Hi All,

We're asked for the number of BLACK shoes that were sold by Shepard’s Shoe Emporium.

1) Three-quarters of the shoes sold were brown.

Fact 1 tells us the 3/4 of the shoes sold were brown, so the other 1/4 were some OTHER color. We don't know what fraction of that were black shoes (it's possible that they were all black shoes and it's possible that none of them were black shoes.
Fact 1 is INSUFFICIENT

2) The Emporium sold 1,284 left shoes.

Fact 2 tells us nothing about the color of the shoes sold.
Fact 2 is INSUFFICIENT

Combined, we simply have no idea how many black shoes (if any) were sold.
Combined, INSUFFICIENT

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Re: How many black shoes were sold by Shepard’s Shoe Emporium? &nbs [#permalink] 09 Dec 2017, 15:24
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