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There are only whisky bottles and vodka bottles on a table, and the to

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There are only whisky bottles and vodka bottles on a table, and the to  [#permalink]

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New post 21 Dec 2018, 05:22
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Difficulty:

  35% (medium)

Question Stats:

76% (01:38) correct 24% (01:16) wrong based on 37 sessions

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There are only whisky bottles and vodka bottles on a table, and the total weight of the bottles is 8.1 pounds. How many bottles are there on the table?

(1) Each whisky bottle weighs 1.2 pounds.
(2) Each vodka bottle weighs 0.7 pounds.

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Re: There are only whisky bottles and vodka bottles on a table, and the to  [#permalink]

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New post 21 Dec 2018, 16:55
Statement 1: Maximum number of whisky bottles would be 6. Without knowing how much the vodka bottles weigh, we don't have enough information to say how many bottles there are. Therefore, Insufficient.

Statement 2: Maximum Number of Vodka Bottles would be 11. Using same logic as Statement 1, we don't have enough information. Therefore, Insufficient.

Putting the two statements together, we could have 5 bottles of whisky and 3 bottles of vodka. This is the only combination that works, so we know there are 8 bottles.

IMO, Answer C.
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Re: There are only whisky bottles and vodka bottles on a table, and the to  [#permalink]

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New post 22 Dec 2018, 03:14
Let the number of Whisky bottles be x
Let the number of Vodka bottles be y
Total weight of the bottles = 8.1 pounds

St 1 : each Whisky bottle weighs 1.2 pounds
We can only say that there can be a minimum of 1 Whisky bottle and a maximum of 6 Whisky bottles
Exact number depends on the weight of each Vodka bottle , which is not known

Not sufficient

St 2 : Each Vodka bottle weighs 0.7 pounds
We can only say that there can be a minimum of 1 Vodka bottle and a maximum of 11 Vodka bottles
Exact number depends on the weight of each Whisky bottle , which is not known

Not Sufficient

St 1 & St 2 Combined

1.2x + 0.7y = 8.1

12x + 7y = 81

y = \(\frac{(81-12x)}{(7)}\)

Giving positive integer values for x, and generating positive integer values for y

We find that x = 5, y = 3 is the only solution

Sufficient

Choice C
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Re: There are only whisky bottles and vodka bottles on a table, and the to &nbs [#permalink] 22 Dec 2018, 03:14
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There are only whisky bottles and vodka bottles on a table, and the to

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