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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 ## What is the ratio of y to x if (x + 3y) / ( x - y) = 3/4? tagged by: swerve ##### This topic has 2 expert replies and 0 member replies ### Top Member ## What is the ratio of y to x if (x + 3y) / ( x - y) = 3/4? What is the ratio of y to x if $$\frac{(x+3y)}{\left(x-y\right)}=\frac{3}{4}?$$ A) -15/4 B) -5/3 C) -1/15 D) 3/5 E) 15/1 The OA is C. Experts, additionally to the algebraic solution, is there another approach to solve this PS question? Thanks! ### GMAT/MBA Expert Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 122 members Upvotes: 1153 GMAT Score: 770 swerve wrote: What is the ratio of y to x if $$\frac{(x+3y)}{\left(x-y\right)}=\frac{3}{4}?$$ A) -15/4 B) -5/3 C) -1/15 D) 3/5 E) 15/1 The OA is C. Experts, additionally to the algebraic solution, is there another approach to solve this PS question? Thanks! Well, I see '15' coming up repeatedly in the answer choices. So let's say I make x = 15. We'd have. (15 + 3y)/(15 - y) = 3/4; Now I'd just solve for y 4(15+3y) = 3(15 - y) 60 + 12y = 45 - 3y 15 = -15y -1 = y If x = 15 and y = -1, then y/x = -1/15. The answer is C _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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[quote="swerve"]What is the ratio of y to x if $$\frac{(x+3y)}{\left(x-y\right)}=\frac{3}{4}?$$

A) -15/4
B) -5/3
C) -1/15
D) 3/5
E) 15/1
/quote]

Cross multiplying, we have:

4x + 12y = 3x - 3y

15y = -x

y/x = -1/15

Answer: C

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