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A shopping cart contains only apples, oranges, and pears. If there are

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A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

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New post 28 Aug 2015, 01:18
3
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00:00
A
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Difficulty:

  5% (low)

Question Stats:

89% (01:08) correct 11% (01:16) wrong based on 160 sessions

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A shopping cart contains only apples, oranges, and pears. If there are twice as many oranges as apples, and three times as many pears as oranges, then the apples are equivalent to what fraction of the pears?

A. 1/6
B. 1/3
C. 1/2
D. 2/3
E. 3/4

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Re: A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

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New post 28 Aug 2015, 04:43
A = 2*O
P = 3*O

2O / 3O = 2/3
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Re: A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

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New post 28 Aug 2015, 07:04
Bunuel wrote:
A shopping cart contains only apples, oranges, and pears. If there are twice as many oranges as apples, and three times as many pears as oranges, then the apples are equivalent to what fraction of the pears?

A. 1/6
B. 1/3
C. 1/2
D. 2/3
E. 3/4

Kudos for a correct solution.


Dear Bunuel ,

I always get confused with statements such as "twice as many oranges as apples"; is it 2A = O or O = 2A ?
Similarly for "three times as many pears as oranges"; is it 3P = O or 3O = P ?

What are the different styles used in GMAT? Can you please list down such statements and their equivalent formulations?

Thank you in advance!
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Re: A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

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New post 28 Aug 2015, 08:16
1
O = 2A
P = 3O

A/P = (O/2)/(3O) = 1/6.
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Re: A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

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New post 28 Aug 2015, 12:05
1
Oranges =2 Apples
Pears = 3 Oranges

Pears =3(2 Apples)

A/P =1/6
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Re: A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

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New post 28 Aug 2015, 18:49
1
Hi noTh1ng,

When translating information into math formulas, you have to be careful about that work. If you make a mistake in the translation, then you'll almost certainly end up with an incorrect answer (and it's possible that THAT specific incorrect answer will be among the answer choices, so you won't even realize that you've made a mistake).

Here, we're told that there are twice as many oranges as apples. Before translating this sentence, think about what you should have MORE of...oranges or apples? So what do you have to do to the 'smaller number?' Double it...

Oranges = 2(Apples)

Your other translation IS correct though...

Pears = 3(Oranges)

From here, what would the correct answer be?

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Re: A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

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New post 28 Aug 2015, 19:43
1
Bunuel wrote:
A shopping cart contains only apples, oranges, and pears. If there are twice as many oranges as apples, and three times as many pears as oranges, then the apples are equivalent to what fraction of the pears?

A. 1/6
B. 1/3
C. 1/2
D. 2/3
E. 3/4

Kudos for a correct solution.


For these questions I normally try and build a small table and avoid algebra at all cost...

...A shopping cart contains only apples, oranges, and pears...

A : O : P

...there are twice as many oranges as apples... (plug in easy numbers)

A : O : P
1 : 2 : ?

...three times as many pears as oranges... (fill in the blank)

A : O : P
1 : 2 : 6

apples are equivalent to what fraction of the pears?

A : O : P
1 : 2 : 6

Hence answer is A 1/6

Hope it helps... And that I'm not wrong :?
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Re: A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

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New post 29 Aug 2015, 01:17
2
EMPOWERgmatRichC wrote:
Hi noTh1ng,

When translating information into math formulas, you have to be careful about that work. If you make a mistake in the translation, then you'll almost certainly end up with an incorrect answer (and it's possible that THAT specific incorrect answer will be among the answer choices, so you won't even realize that you've made a mistake).

Here, we're told that there are twice as many oranges as apples. Before translating this sentence, think about what you should have MORE of...oranges or apples? So what do you have to do to the 'smaller number?' Double it...

Oranges = 2(Apples)

Your other translation IS correct though...

Pears = 3(Oranges)

From here, what would the correct answer be?

GMAT assassins aren't born, they're made,
Rich


oops, thanks for noticing. Didn't pay enough attention there..

O = 2A
P = 3O

A = 1/2 O

1/2O / 3O = 1/6 O
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Re: A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

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New post 29 Aug 2015, 02:58
Bunuel wrote:
A shopping cart contains only apples, oranges, and pears. If there are twice as many oranges as apples, and three times as many pears as oranges, then the apples are equivalent to what fraction of the pears?

A. 1/6
B. 1/3
C. 1/2
D. 2/3
E. 3/4

Kudos for a correct solution.


Pears:Oranges=3:1 &Oranges:Apples=2:1
Rationalizing Oranges in both the ratios,
Pears:Oranges=6:2 & Oranges:Apples=2:1
Therefore, Pears:Apples=6:1
Answer A 1/6
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Re: A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

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New post 20 Sep 2015, 14:39
Could someone please confirm if there are 6 apples for one pear or one pear for every 6 apples?
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Re: A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

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New post 20 Sep 2015, 14:47
dina98 wrote:
Could someone please confirm if there are 6 apples for one pear or one pear for every 6 apples?


It will be 6 pears for every apple or P=6A.

If the questions says that you twice as many X as Y , then you would have X=2Y, there are more 'X's than 'Y's.

Hope this helps.
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Re: A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

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New post 04 Feb 2017, 05:38
There are twice as many oranges as apples (note the idiomatic construction). There are also three times as many pears as oranges.

So let us have oranges = 4
SO apples must be half as much ==> 2
pears are thrice as much as oranges ==> 12
apples to pears ratio is 2/12 = 1/6!
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Re: A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

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New post 04 Feb 2017, 07:29
Bunuel wrote:
A shopping cart contains only apples, oranges, and pears. If there are twice as many oranges as apples, and three times as many pears as oranges, then the apples are equivalent to what fraction of the pears?

A. 1/6
B. 1/3
C. 1/2
D. 2/3
E. 3/4

Kudos for a correct solution.


Quote:
If there are twice as many oranges as apples


o : a = 2 : 1----------------> (I)

Quote:
and three times as many pears as oranges,


p : o = 3 : 1----------------> (II)


Combining (I) & (II)-

o : a : p = 2 : 1 : 6

Quote:
then the apples are equivalent to what fraction of the pears?


So, apples are 1/6 of pears....

Answer will be (A) \(\frac{1}{6}\)
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Re: A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

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New post 09 Feb 2017, 18:19
Apples = A
Oranges = O
Pears = P
A = x/y x P ?
O = 2*A
P = 3*O
Substitute values
1/6
A
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Re: A shopping cart contains only apples, oranges, and pears. If there are &nbs [#permalink] 09 Feb 2017, 18:19
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