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!
What is the ratio of y to x if (x + 3y) / ( x - y) = 3/4?
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- DavidG@VeritasPrep
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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 yswerve 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!
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
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- Scott@TargetTestPrep
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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
/quote]
Cross multiplying, we have:
4x + 12y = 3x - 3y
15y = -x
y/x = -1/15
Answer: C
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