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Math Expert V
Joined: 02 Sep 2009
Posts: 64168
If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =  [#permalink]

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6 00:00

Difficulty:   5% (low)

Question Stats: 94% (01:14) correct 6% (01:46) wrong based on 729 sessions

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =

(A) 10/9
(B) 3/2
(C) 20/11
(D) 30/11
(E) 5

Problem Solving
Question: 107
Category: Algebra First-degree equations; Simplifying algebraic expressions
Page: 75
Difficulty: 600

GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

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Intern  Status: Never Give up!!!
Joined: 02 Aug 2012
Posts: 45
Location: India
Concentration: Finance, General Management
Re: If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =  [#permalink]

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1
From the question x=3/2 and y=12

Substitute this in the equation:-
(3+12)/(3/2+4)=2x(15)/11=30/11
Option (D)
Math Expert V
Joined: 02 Sep 2009
Posts: 64168
Re: If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =  [#permalink]

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SOLUTION

If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =

(A) 10/9
(B) 3/2
(C) 20/11
(D) 30/11
(E) 5

$$\frac{3}{x} = 2$$ --> $$x=\frac{3}{2}$$;

$$\frac{y}{4} = 3$$ --> $$y=12$$.

Substitute: $$\frac{3 + y}{x + 4} =\frac{3+12}{\frac{3}{2}+4}=\frac{15}{\frac{11}{2}}=\frac{30}{11}$$.

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Math Expert V
Joined: 02 Sep 2009
Posts: 64168
Re: If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =  [#permalink]

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SOLUTION

If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =

(A) 10/9
(B) 3/2
(C) 20/11
(D) 30/11
(E) 5

$$\frac{3}{x} = 2$$ --> $$x=\frac{3}{2}$$;

$$\frac{y}{4} = 3$$ --> $$y=12$$.

Substitute: $$\frac{3 + y}{x + 4} =\frac{3+12}{\frac{3}{2}+4}=\frac{15}{\frac{11}{2}}=\frac{30}{11}$$.

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Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4996
Location: India
GPA: 3.5
Re: If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =  [#permalink]

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Bunuel wrote:
If $$\frac{3}{x} = 2$$ and $$\frac{y}{4} = 3$$, then $$\frac{(3 + y)}{(x + 4)} =$$

(A) 10/9
(B) 3/2
(C) 20/11
(D) 30/11
(E) 5

So, $$x = \frac{3}{2}$$ & $$y = 12$$

Now,$$\frac{(3 + y)}{(x + 4)}$$

Or, $$\frac{3 + 12}{3/2 + 4}$$

Or, $$\frac{15}{11/2}$$

= $$\frac{30}{11}$$ , Answer must be (D)
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CEO  V
Joined: 03 Jun 2019
Posts: 2921
Location: India
GMAT 1: 690 Q50 V34 WE: Engineering (Transportation)
Re: If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =  [#permalink]

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1
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =

(A) 10/9
(B) 3/2
(C) 20/11
(D) 30/11
(E) 5

Problem Solving
Question: 107
Category: Algebra First-degree equations; Simplifying algebraic expressions
Page: 75
Difficulty: 600

GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

Given:
1. 3/x = 2 ; x = 3/2 = 1.5
2. y/4 = 3; y = 12

Asked: (3 + y)/(x + 4) = ?

(3 + y)/(x + 4)
(3+12)/(1.5 + 4)
= 15/5.5
= 30/11

IMO D
_________________
Kinshook Chaturvedi
Email: kinshook.chaturvedi@gmail.com Re: If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =   [#permalink] 15 Sep 2019, 08:52

# If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =  