• NEW! FREE Beat The GMAT Quizzes
Hundreds of Questions Highly Detailed Reporting Expert Explanations
• 7 CATs FREE!
If you earn 100 Forum Points

Engage in the Beat The GMAT forums to earn
100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## If x = y+3+4.5x and y = x+18, what is the value of x/y? tagged by: VJesus12 ##### This topic has 1 expert reply and 1 member reply ### Top Member ## If x = y+3+4.5x and y = x+18, what is the value of x/y? ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult If x = y+3+4.5x and y = x+18, what is the value of x/y? A. -6/5 B. -7/20 C. 1/4 D. 5/6 E. 1.5 The OA is the option B. Is there a strategic approach to solving this PS question? Could anyone give me some help here? ### Top Member Legendary Member Joined 07 Sep 2017 Posted: 817 messages Followed by: 3 members Upvotes: 6 Top Reply Hello Vjesus12. Let's take a look at your question. We have to solve this two-equation system: $$x=y+3+4.5x\ \ \ --\ --\left(1\right)$$ $$y=x+18\ \ \ --\ --\left(2\right)$$ If we replace the second equation into the first one we get $$x=\left(x+18\right)+3+4.5x\ \ \ \Rightarrow\ \ \ \ x=21+5.5x$$ $$-21=5.5x-x\ \ \ \Rightarrow\ \ \ \ -21=4.5x\ \ \ \Rightarrow\ \ \ x=-\frac{21}{4.5}.$$ Now, we can find the value of y as follows: $$y=x+18\ \ \Rightarrow\ \ \ y=-\frac{21}{4.5}+18\ =\ \frac{60}{4.5}.$$ Finally, we can get the value of x/y $$\frac{x}{y}=\frac{-\frac{21}{4.5}}{\frac{60}{4.5}}=-\frac{21}{60}=-\frac{7}{20}.$$ This implies that the correct answer is the option B. I hope it is clear enough. Regards. ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2424 messages Followed by: 18 members Upvotes: 43 VJesus12 wrote: If x = y+3+4.5x and y = x+18, what is the value of x/y? A. -6/5 B. -7/20 C. 1/4 D. 5/6 E. 1.5 Simplifying the first equation, we have: x = y + 3 + 4.5x -3.5x = y + 3 Substituting x + 18 for y, we have: -3.5x = x + 18 + 3 -4.5x = 21 x = 21/-4.5 = -210/45 = -14/3 Thus, y = -14/3 + 18 = 40/3. So x/y = (-14/3)/(40/3) = -14/40 = -7/20. Answer: B _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews • Award-winning private GMAT tutoring Register now and save up to$200

Available with Beat the GMAT members only code

• Free Practice Test & Review
How would you score if you took the GMAT

Available with Beat the GMAT members only code

• 5-Day Free Trial
5-day free, full-access trial TTP Quant

Available with Beat the GMAT members only code

• Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

• Get 300+ Practice Questions

Available with Beat the GMAT members only code

• FREE GMAT Exam
Know how you'd score today for \$0

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• 5 Day FREE Trial
Study Smarter, Not Harder

Available with Beat the GMAT members only code

• Free Trial & Practice Exam
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Free Veritas GMAT Class
Experience Lesson 1 Live Free

Available with Beat the GMAT members only code

### Top First Responders*

1 Jay@ManhattanReview 70 first replies
2 Brent@GMATPrepNow 67 first replies
3 GMATGuruNY 41 first replies
4 Ian Stewart 27 first replies
5 Scott@TargetTestPrep 16 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 Scott@TargetTestPrep

Target Test Prep

221 posts
2 Brent@GMATPrepNow

GMAT Prep Now Teacher

93 posts
3 Max@Math Revolution

Math Revolution

89 posts
4 Jay@ManhattanReview

Manhattan Review

73 posts
5 GMATGuruNY

The Princeton Review Teacher

64 posts
See More Top Beat The GMAT Experts