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The ratio of oranges to apples in a fruit basket is 3 to 4. However,
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15 Sep 2016, 04:07

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80% (01:19) correct 20% (01:45) wrong based on 187 sessions

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The ratio of oranges to apples in a fruit basket is 3 to 4. However, after Mary and Alan eat four apples, the ratio changes to 3 to 2. How many oranges are there in the fruit basket?

Re: The ratio of oranges to apples in a fruit basket is 3 to 4. However,
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15 Sep 2016, 05:00

Bunuel wrote:

The ratio of oranges to apples in a fruit basket is 3 to 4. However, after Mary and Alan eat four apples, the ratio changes to 3 to 2. How many oranges are there in the fruit basket?

A. 2 B. 3 C. 6 D. 9 E. 12

O / A = 3/4 => O = 3/4(A).

Now O/A-4 = 3/2 . Now sub O value in this...we get 3A / 4A-16 = 3/2 => A = 8 and O = 6.

Re: The ratio of oranges to apples in a fruit basket is 3 to 4. However,
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15 Sep 2016, 14:39

Top Contributor

2

Bunuel wrote:

The ratio of oranges to apples in a fruit basket is 3 to 4. However, after Mary and Alan eat four apples, the ratio changes to 3 to 2. How many oranges are there in the fruit basket?

A. 2 B. 3 C. 6 D. 9 E. 12

Let O = # of oranges originally in basket Let A = # of apples originally in basket

The ratio of oranges to apples in a fruit basket is 3 to 4 So, O/A = 3/4 Cross multiply to get: 4O = 3A

After Mary and Alan eat four apples, the ratio changes to 3 to 2 NOTE: I'm assuming they eat a TOTAL of 4 apples, and not 4 apples each. So, the number of apples is now A - 4 So, the oranges to apples ratio is as follows: O/(A-4) = 3/2 Cross multiply to get: 2O = 3(A - 4) Expand: 2O = 3A - 12

We now have the following system: 4O = 3A 2O = 3A - 12

SUBTRACT the bottom equation from the top equation to get: 2O = 12 Solve: O= 6

Re: The ratio of oranges to apples in a fruit basket is 3 to 4. However,
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15 Sep 2016, 14:51

1

1

Bunuel wrote:

The ratio of oranges to apples in a fruit basket is 3 to 4. However, after Mary and Alan eat four apples, the ratio changes to 3 to 2. How many oranges are there in the fruit basket?

A. 2 B. 3 C. 6 D. 9 E. 12

I vote for plugging in the answer choices on this one.

You can eliminate (A) immediately, since it's not a multiple of 3.

(B): if there are 3 oranges, there are 4 apples. After Mary and Alan eat 4 apples, there would be 0 apples. That's not a 3:2 ratio. Wrong.

(C): If there are 6 oranges, there are 8 apples. After Mary and Alan eat 4 apples, there would be 4 apples. That's 6:4, which is 3:2. Correct.
_________________

Re: The ratio of oranges to apples in a fruit basket is 3 to 4. However,
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30 Sep 2019, 03:44

GMATPrepNow wrote:

Bunuel wrote:

The ratio of oranges to apples in a fruit basket is 3 to 4. However, after Mary and Alan eat four apples, the ratio changes to 3 to 2. How many oranges are there in the fruit basket?

A. 2 B. 3 C. 6 D. 9 E. 12

Let O = # of oranges originally in basket Let A = # of apples originally in basket

The ratio of oranges to apples in a fruit basket is 3 to 4 So, O/A = 3/4 Cross multiply to get: 4O = 3A

After Mary and Alan eat four apples, the ratio changes to 3 to 2 NOTE: I'm assuming they eat a TOTAL of 4 apples, and not 4 apples each. So, the number of apples is now A - 4 So, the oranges to apples ratio is as follows: O/(A-4) = 3/2 Cross multiply to get: 2O = 3(A - 4) Expand: 2O = 3A - 12

We now have the following system: 4O = 3A 2O = 3A - 12

SUBTRACT the bottom equation from the top equation to get: 2O = 12 Solve: O= 6

Re: The ratio of oranges to apples in a fruit basket is 3 to 4. However,
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30 Sep 2019, 09:11

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Anupom wrote:

I thought D, according to your below approach

3 4 6 8 9 12 12 16

Here 16-12=4; as 4 apple gone according to stem, so why not D?

Would you please explain this?

I'm not entirely sure I follow your rationale.

Let's say the correct answer is D, which means there are 9 oranges and 12 apples in the bag ORIGINALLY. AFTER 4 apples are eaten, there are now 9 oranges and 8 apples in the bag However, the question tells us that the ratio of oranges to apples CHANGES to 3:2 (9:8) So, the correct answer cannot be D
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Re: The ratio of oranges to apples in a fruit basket is 3 to 4. However,
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03 Oct 2019, 01:39

Bunuel wrote:

The ratio of oranges to apples in a fruit basket is 3 to 4. However, after Mary and Alan eat four apples, the ratio changes to 3 to 2. How many oranges are there in the fruit basket?

A. 2 B. 3 C. 6 D. 9 E. 12

This is how i solved.

The original ratio = 3/4 for Oranges / Apples

Lets form an equation 3x / 4x - 4 = 3/2

cross multiply to get x= 2

Now Original amount of Oranges = 3x ie 3*2 = 6 Oranges and choice C

gmatclubot

Re: The ratio of oranges to apples in a fruit basket is 3 to 4. However,
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03 Oct 2019, 01:39