Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 29 May 2015, 16:55

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:
Math Expert
Joined: 02 Sep 2009
Posts: 27535
Followers: 4328

Kudos [?]: 42617 [0], given: 6050

If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) = [#permalink]  21 Feb 2014, 00:03
Expert's post
00:00

Difficulty:

5% (low)

Question Stats:

95% (01:56) correct 5% (01:09) wrong based on 152 sessions
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!
[Reveal] Spoiler: OA

_________________
 Kaplan GMAT Prep Discount Codes Knewton GMAT Discount Codes Manhattan GMAT Discount Codes
Math Expert
Joined: 02 Sep 2009
Posts: 27535
Followers: 4328

Kudos [?]: 42617 [0], given: 6050

Re: If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) = [#permalink]  21 Feb 2014, 00:04
Expert's post
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: 02 Aug 2012
Posts: 49
Location: India
Concentration: Finance, General Management
Followers: 0

Kudos [?]: 28 [1] , given: 26

Re: If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) = [#permalink]  21 Feb 2014, 01:11
1
KUDOS
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
Joined: 02 Sep 2009
Posts: 27535
Followers: 4328

Kudos [?]: 42617 [0], given: 6050

Re: If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) = [#permalink]  22 Feb 2014, 05:28
Expert's post
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: $$\frac{3 + y}{x + 4} =\frac{3+12}{\frac{3}{2}+4}=\frac{15}{\frac{11}{2}}=\frac{30}{11}$$.

_________________
Re: If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =   [#permalink] 22 Feb 2014, 05:28
Similar topics Replies Last post
Similar
Topics:
If 2^y = 4^(5x + 3) and 3^(x - 7) = 9^y, what is the value of x + y ? 3 29 Nov 2014, 18:10
4 If x and y are non-zero integers, and 9x^4 – 4y^4 = 3x^2 + 2 10 25 May 2012, 14:14
2 If x and y are positive, is 3x > 7y? (1) x > y + 4 (2) 32 12 Jul 2009, 11:45
5 If x and y are non-zero integers, and 9x^4 - 4y^4 = 3x^2 + 6 10 Sep 2007, 17:23
the shortest distance between the lines 3x - 2y -4 = 0 and 1 05 Jun 2006, 17:52
Display posts from previous: Sort by