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

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Math Expert
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If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) = [#permalink]

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21 Feb 2014, 01:03
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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

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[Reveal] Spoiler: OA

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Math Expert
Joined: 02 Sep 2009
Posts: 34449
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Kudos [?]: 79592 [0], given: 10022

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

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21 Feb 2014, 01:04
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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Re: If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) = [#permalink]

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21 Feb 2014, 02:11
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: 34449
Followers: 6273

Kudos [?]: 79592 [0], given: 10022

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

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22 Feb 2014, 06:28
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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Re: If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) = [#permalink]

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15 Mar 2016, 06:12
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =   [#permalink] 15 Mar 2016, 06:12
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