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

Question

https://gmatclub.com/forum/download/file.php?id=21966 In the figure above, if x/(x + y) = 3/8, then x = (A) 60 (B) 67.5 (C) 72 (D) 108 (E) 112.5 Untitled.png

BrentGMATPrepNow · Accepted Answer

Given: x/(x + y) = 3/8

Since angles on a line add to 180 degrees, we know that  x + y = 180 
So we can take the given equation, x/(x + y) = 3/8, and substitute  180  for  x + y   to get: x/ 180  = 3/8
Cross multiply: 8x = 540
Solve: x = 540/8 = 67.5

Answer: B

Bunuel · Answer

https://gmatclub.com/forum/download/file.php?id=21966 
 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.

Answer: B.

gayam · Answer

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

180*3/8 = 67.5

nutshell · Answer

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).

kinjiGC · Answer

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)

PareshGmat · Answer

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

Answer = B

sasyaharry · Answer

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.

Bunuel · Answer

OFFICIAL GUIDE :

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.

GMATinsight · Answer

from the figure, (x + y) = 180

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

i.e. x = 67.5

Answer: option B

JeffTargetTestPrep · Answer

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

Answer: B

Abhishek009 · Answer

\frac{x}{180} = \frac{3}{8}

Or,  8x = 540

Or,  x = 67.5 , Answer must be (B)

Kinshook · Answer

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

Since x+ y = 180
x/180 = 3/8 
x = 3*180/8 = 3*45/2 = 67.5

IMO B

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

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

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards