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# For a certain bottle and cork, what is the price of the cork?

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Math Expert
Joined: 02 Sep 2009
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Kudos [?]: 70645 [0], given: 9856

For a certain bottle and cork, what is the price of the cork? [#permalink]

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09 Dec 2014, 15:46
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Tough and Tricky questions: Word Problems.

For a certain bottle and cork, what is the price of the cork?

(1) The combined price of the bottle and the cork is 95 cents.
(2) The price of the bottle is 75 cents more than the price of the cork.

Kudos for a correct solution.

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Manager
Joined: 22 Sep 2012
Posts: 143
Concentration: Strategy, Technology
WE: Information Technology (Computer Software)
Followers: 2

Kudos [?]: 63 [0], given: 49

Re: For a certain bottle and cork, what is the price of the cork? [#permalink]

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09 Dec 2014, 21:02
If b and c are the price of the bottle and the cork. we have to find out c.

Statement 1: The combined price of the bottle and the cork is 95 cents.
b+c = 95
Clearly insufficient

Statement 2:
b = c + 75
Insufficient.

Combining 1) and 2), we can find out both b and c. Hence C) should be the answer
Manager
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Kudos [?]: 10 [0], given: 15

Re: For a certain bottle and cork, what is the price of the cork? [#permalink]

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09 Dec 2014, 23:54
For a certain bottle and cork, what is the price of the cork?

Let x and y be the price of bottle and cork respectively
(1) The combined price of the bottle and the cork is 95 cents -->x+y=95....insufficient
(2) The price of the bottle is 75 cents more than the price of the cork -->x-y=75.....insufficient

1+2 -->x=85 and y=10.....sufficient

Ans. C)
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Re: For a certain bottle and cork, what is the price of the cork?   [#permalink] 09 Dec 2014, 23:54
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