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

Question

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.

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

noTh1ng · Answer

A = 2*O
P = 3*O

2O / 3O = 2/3

sagar2911 · Answer

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!

GSBae · Answer

O = 2A
P = 3O

A/P = (O/2)/(3O) = 1/6.

hwgmat2015 · Answer

Oranges =2 Apples
Pears = 3 Oranges

Pears =3(2 Apples)

A/P =1/6

EMPOWERgmatRichC · Answer

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

DropBear · Answer

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

noTh1ng · Answer

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

O = 2A
P = 3O

A = 1/2 O

1/2O / 3O = 1/6 O

KS15 · Answer

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

dina98 · Answer

Could someone please confirm if there are 6 apples for one pear or one pear for every 6 apples?

ENGRTOMBA2018 · Answer

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.

ajdse22 · Answer

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!

Abhishek009 · Answer

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

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

Combining (I) & (II)-

o : a : p = 2 : 1 : 6

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

Answer will be (A)  \frac{1}{6}

kanusha · Answer

Apples = A
Oranges = O
Pears = P
 A = x/y x P ? 
O = 2*A
P = 3*O
Substitute values
1/6
A

bumpbot · Answer

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