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# In the figure above, if x/(x + y) = 3/8, then x =

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Math Expert
Joined: 02 Sep 2009
Posts: 54544
In the figure above, if x/(x + y) = 3/8, then x =  [#permalink]

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08 Jan 2014, 07:19
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Difficulty:

5% (low)

Question Stats:

89% (01:27) correct 11% (01:47) wrong based on 630 sessions

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In the figure above, if x/(x + y) = 3/8, then x =

(A) 60
(B) 67.5
(C) 72
(D) 108
(E) 112.5

Problem Solving
Question: 30
Category: Geometry; Algebra Angle measures; Simultaneous equations
Page: 65
Difficulty: 600

The Official Guide For GMAT® Quantitative Review, 2ND Edition

Attachment:

Untitled.png [ 6.9 KiB | Viewed 12127 times ]

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Math Expert
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Posts: 54544
Re: In the figure above, if x/(x + y) = 3/8, then x =  [#permalink]

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08 Jan 2014, 07:19
1

In the figure above, if x/(x + y) = 3/8, then x =

(A) 60
(B) 67.5
(C) 72
(D) 108
(E) 112.5

Notice that the angles x and y form a straight line, therefore x + y = 180.

Substitute: x/180 = 3/8 --> x = 67.5.

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Re: In the figure above, if x/(x + y) = 3/8, then x =  [#permalink]

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08 Jan 2014, 07:38
1
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

Attachment:
Untitled.png
In the figure above, if x/(x + y) = 3/8, then x =

(A) 60
(B) 67.5
(C) 72
(D) 108
(E) 112.5

Problem Solving
Question: 30
Category: Geometry; Algebra Angle measures; Simultaneous equations
Page: 65
Difficulty: 600

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x+y= 180
if 8 -> 180 then 3 -> ?

180*3/8 = 67.5
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Re: In the figure above, if x/(x + y) = 3/8, then x =  [#permalink]

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08 Jan 2014, 21:43
1
From the figure, we can say that x+y=180;
Since, x is (3/8)*(x+y)
x = (3/8) * 180
x = 67.5.

Ans is (B).
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Re: In the figure above, if x/(x + y) = 3/8, then x =  [#permalink]

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10 Jan 2014, 10:59
1
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

Attachment:
Untitled.png
In the figure above, if x/(x + y) = 3/8, then x =

(A) 60
(B) 67.5
(C) 72
(D) 108
(E) 112.5

From the equation 5x = 3y and from the figure x + y =100
Instead of solving the equation, we can divide 100 into 8 parts and assign 5 parts to y and 3 parts of x.
so x = 3*100/8 = 67.5 - option B)
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Re: In the figure above, if x/(x + y) = 3/8, then x =  [#permalink]

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07 Aug 2014, 02:58
1
From the diagram given, its clear that x should be less than 90 & its value has to be in decimal ($$\frac{180}{8}$$ would not provide an integer)

Only 67.5 fits in

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Re: In the figure above, if x/(x + y) = 3/8, then x =  [#permalink]

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03 Jul 2017, 08:48
PareshGmat wrote:
From the diagram given, its clear that x should be less than 90 & its value has to be in decimal ($$\frac{180}{8}$$ would not provide an integer)

Only 67.5 fits in

I doubt that the GMAT diagrams are to scale. Kaplan says never take the diagram to scale unless specified.
I think your approach here might not be the best one.
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Re: In the figure above, if x/(x + y) = 3/8, then x =  [#permalink]

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03 Jul 2017, 09:04
sasyaharry wrote:
PareshGmat wrote:
From the diagram given, its clear that x should be less than 90 & its value has to be in decimal ($$\frac{180}{8}$$ would not provide an integer)

Only 67.5 fits in

I doubt that the GMAT diagrams are to scale. Kaplan says never take the diagram to scale unless specified.
I think your approach here might not be the best one.

Problem Solving
Figures: All figures accompanying problem solving questions are intended to provide information useful in solving the problems. Figures are drawn as accurately as possible. Exceptions will be clearly noted. Lines shown as straight are straight, and lines that appear jagged are also straight. The positions of points, angles, regions, etc., exist in the order shown, and angle measures are greater than zero. All figures lie in a plane unless otherwise indicated.

Data Sufficiency:
Figures:
Figures conform to the information given in the question, but will not necessarily conform to the additional information given in statements (1) and (2).
• Lines shown as straight are straight, and lines that appear jagged are also straight.
• The positions of points, angles, regions, etc., exist in the order shown, and angle measures are greater than zero.
• All figures lie in a plane unless otherwise indicated.
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Re: In the figure above, if x/(x + y) = 3/8, then x =  [#permalink]

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28 Jul 2017, 00:55
Bunuel wrote:

In the figure above, if x/(x + y) = 3/8, then x =

(A) 60
(B) 67.5
(C) 72
(D) 108
(E) 112.5

Attachment:
2017-07-28_1137_002.png

from the figure, (x + y) = 180

i.e. x/(x + y) = 3/8
i.e. x/180 = 3/8

i.e. x = 67.5

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Re: In the figure above, if x/(x + y) = 3/8, then x =  [#permalink]

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01 Aug 2017, 17:16
Bunuel wrote:

In the figure above, if x/(x + y) = 3/8, then x =

(A) 60
(B) 67.5
(C) 72
(D) 108
(E) 112.5

Since we have two supplementary angles, x + y = 180. Thus, we can replace (x + y) with 180 in the equation and solve for x:

x/(x + y) = 3/8

x/180 = 3/8

8x = 540

x = 67.5

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Re: In the figure above, if x/(x + y) = 3/8, then x =   [#permalink] 01 Aug 2017, 17:16
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