Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 17 Jul 2019, 09:43 ### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =

Author Message
TAGS:

### Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 56275
If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =  [#permalink]

### Show Tags

1
5 00:00

Difficulty:   5% (low)

Question Stats: 94% (01:13) correct 6% (01:45) wrong based on 764 sessions

### HideShow timer Statistics 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!

_________________
Math Expert V
Joined: 02 Sep 2009
Posts: 56275
Re: If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =  [#permalink]

### Show Tags

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

_________________
Intern  Status: Never Give up!!!
Joined: 03 Aug 2012
Posts: 46
Location: India
Concentration: Finance, General Management
Re: If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =  [#permalink]

### Show Tags

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: 56275
Re: If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =  [#permalink]

### Show Tags

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

_________________
Board of Directors P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4512
Location: India
GPA: 3.5
Re: If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =  [#permalink]

### Show Tags

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)
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) Re: If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =   [#permalink] 25 Aug 2018, 22:46
Display posts from previous: Sort by

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