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What is the value of x/3 + y/4?

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What is the value of x/3 + y/4?  [#permalink]

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New post 17 Apr 2017, 00:26
1
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A
B
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D
E

Difficulty:

  15% (low)

Question Stats:

75% (01:00) correct 25% (00:56) wrong based on 114 sessions

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Re: What is the value of x/3 + y/4?  [#permalink]

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New post 17 Apr 2017, 01:33
1
Lets consider A) x/12 + y/12 =7/12

In this case there are several values of (x,y) that satisfy the equation such as (1,6),(2,5),(3,4),(4,3),(5,2) and (6,1). If we substitute these value in the main eqn x/3 + y/4 we get different values. therefore this option is ruled out.

Now Consider b)4x+3y=24 . The values that satisfy this eqn are (6,0),(0,8) and (3,4). Once we substitute all the values in the main eqn x/3+y/4 we always get the value as 2.

So B is the answer.
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Re: What is the value of x/3 + y/4?  [#permalink]

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New post 18 Apr 2017, 04:30
What is the value of x/3 + y/4?


(1) x/12 + y/12 = 7/12

Multiply the equation in 12

x + y = 7......different numbers that statsfy the equation.

Insufficient

(2) 4x + 3y = 24

Divide the equation by 12

x/3 + y/4 = 2

Sufficient

Answer: B
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Re: What is the value of x/3 + y/4?  [#permalink]

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New post 18 Apr 2017, 08:42
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Bunuel wrote:
What is the value of x/3 + y/4?

(1) x/12 + y/12 = 7/12
(2) 4x + 3y = 24


Target question: What is the value of x/3 + y/4?

This is a good candidate for rephrasing the target question.
Let's take x/3 + y/4 and rewrite it. First we need a common denominator (of 12).
We get: x/3 + y/4 = 4x/12 + 3y/12 = (4x + 3y)/12
So, if we can determine the sum (4x + 3y), then we can answer the target question. So, let's REPHRASE the target question as....
REPHRASED target question: What is the value of 4x + 3y?

Statement 1: x/12 + y/12 = 7/12
Take the equation and multiply both sides by 12 to get: x + y = 7
Is this enough information to answer our rephrased target question?
No.
There are several values of x and y that satisfy the equation x + y = 7. Here are two:
Case a: x = 1 and y = 6, in which case 4x + 3y = 4(1) + 3(6) = 22
Case b: x = 2 and y = 5, in which case 4x + 3y = 4(2) + 3(5) = 23
Since we cannot answer the REPHRASED target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: 4x + 3y = 24
Perfect!! This is exactly what our REPHRASED target question is asking for.
Since we can answer the REPHRASED target question with certainty, statement 2 is SUFFICIENT

Answer:

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Re: What is the value of x/3 + y/4?  [#permalink]

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New post 27 Jul 2018, 18:26
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Re: What is the value of x/3 + y/4? &nbs [#permalink] 27 Jul 2018, 18:26
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