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A fruit basket contains apples, oranges, and tangerines in the ratio 3

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A fruit basket contains apples, oranges, and tangerines in the ratio 3  [#permalink]

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New post 26 Sep 2016, 17:30
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A
B
C
D
E

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  15% (low)

Question Stats:

81% (01:02) correct 19% (01:09) wrong based on 127 sessions

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A fruit basket contains apples, oranges, and tangerines in the ratio 3:2:5, respectively. What is the total number of apples, oranges, and tangerines in the fruit basket?

(1) The fruit basket contains a total of 8 apples and tangerines

(2) The fruit basket contains fewer than 12 oranges
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Re: A fruit basket contains apples, oranges, and tangerines in the ratio 3  [#permalink]

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New post 27 Sep 2016, 03:12
In considering A, if we know the number of apples and tangerines is 8, it's quite obvious that the number of oranges is 2. Hence this is sufficient

In considering B, because the number of oranges can vary. We cannot come up with a constant number for the total number of apples and tangerines. Hence this is not sufficient

The answer is A.
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Re: A fruit basket contains apples, oranges, and tangerines in the ratio 3  [#permalink]

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New post 27 Sep 2016, 09:05
1
Suppose total number of fruits be x.

Apples = \(\frac{3}{10} * x\)
Oranges = \(\frac{2}{10} * x\)
Tangerine = \(\frac{5}{10} * x\)

So, if we are able to get count of any of the fruits. we will be able to get total number of fruits.

(1) The fruit basket contains a total of 8 apples and tangerines.

0.3 * x + 0.5 x = 8 ==> x = 10 -- Sufficient.

(2) The fruit basket contains fewer than 12 oranges

We don't know total number of any of the fruit. -- Insufficient.
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Re: A fruit basket contains apples, oranges, and tangerines in the ratio 3  [#permalink]

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New post 08 Aug 2018, 19:54
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Re: A fruit basket contains apples, oranges, and tangerines in the ratio 3   [#permalink] 08 Aug 2018, 19:54
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