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

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