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

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Bunuel
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If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) = [#permalink] If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =   21 Feb 2014, 01:03
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A
B
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D
E

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5% (low)

Question Stats:

95% (01:12) correct 5% (01:37) wrong based on 1541 sessions
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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
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D
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Bunuel
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Re: If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) = [#permalink] If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =   21 Feb 2014, 01:04
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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: \(\frac{3 + y}{x + 4} =\frac{3+12}{\frac{3}{2}+4}=\frac{15}{\frac{11}{2}}=\frac{30}{11}\).

Answer: D.
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Re: If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) = [#permalink] If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =   21 Feb 2014, 02:11
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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)
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Re: If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) = [#permalink] If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =   25 Aug 2018, 22:46
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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Re: If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) = [#permalink] If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =   15 Sep 2019, 09:52
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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


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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
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Re: If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) = [#permalink] If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =   01 Sep 2021, 22:06
3/x = 2
==> x= 3/2

y/4 = 3
==> y= 3*4=12

Now, (3 + y)/(x + 4) = (3+12)/(3/2 +4)

= 15/(11/2)
=30/11
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Re: If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) = [#permalink] If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =   02 May 2023, 22:23
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Re: If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) = [#permalink]
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