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Math Expert V
Joined: 02 Sep 2009
Posts: 57200
If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =  [#permalink]

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1
5 00:00

Difficulty:   5% (low)

Question Stats: 94% (01:13) correct 6% (01:46) wrong based on 774 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

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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: 57200
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: $$\frac{3 + y}{x + 4} =\frac{3+12}{\frac{3}{2}+4}=\frac{15}{\frac{11}{2}}=\frac{30}{11}$$.

Answer: D.
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Math Expert V
Joined: 02 Sep 2009
Posts: 57200
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: $$\frac{3 + y}{x + 4} =\frac{3+12}{\frac{3}{2}+4}=\frac{15}{\frac{11}{2}}=\frac{30}{11}$$.

Answer: D.
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Posts: 4575
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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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Abhishek....

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