If w/(x + y) = 1, what is the value of (x + y)/y ?

Question

(1) x/y = 3/2

(2) y/w = 2/5

chetan2u · Answer

If w/(x + y) = 1, what is the value of (x + y)/y ?

\frac{x+y}{y} = 1+\frac{x}{y}

(1) x/y = 3/2
So Ans 1+3/2=5/2
Suff

(2) y/w = 2/5
Now  \frac{w}{x+y} =1 or  \frac{x+y}{w}=1 
x/w=1-2/5=3/5
So ratio of x:y:z=3:2:5 and thus x/y=3/2
Ans 1+3/2=5/2
Sufficient

D

PKN · Answer

Given, w/(x + y) = 1
St1:-  \frac{x}{y} = \frac{3}{2} 
Or,  \frac{x}{y}+1 = \frac{3}{2}+1 
Or,  \frac{x+y}{y} = \frac{5}{2} 
Sufficient.

St2:-  \frac{y}{w} = \frac{2}{5} 
Or,  w=\frac{5}{2}*y

Substituting 'w' in (1), we can express 'x' in terms of y, vice-versa.

Again, we can substitute the value of x or y in question stem and determine  \frac{(x+y)}{y} .

Sufficient.

Ans. (D)

varun4s · Answer

\frac{(x+y)}{y} =  \frac{x}{y} +1............................(a)

(1)  \frac{x}{y} = \frac{3}{2} . Put this value in the above modified equation (a)

\frac{3}{2} +1=  \frac{5}{2}

\frac{w}{(x+y)} = 1...........................(b)

(2)  \frac{y}{w} =  \frac{2}{5}  or 2w= 5y or w=  \frac{5y}{2}

Put this value of w in the above equation (b)

\frac{5y}{2(x+y)} = 1 or  \frac{2(x+y)}{5y} = 1 or  \frac{(x+y)}{y} =  \frac{5}{2}

Answer: D.

analytica233 · Answer

w/(x + y) = 1 (x + y)/y = ? <=> `x/y + 1 = ? (1) x/y = 3/2. Clearly sufficient. (2) y/w = 2/5. We already know the fact that w/(x + y) = 1 <=> w = x + y --> y/(x + y) = 2/5 <=> (x + y)/y = 5/2. Sufficient. Answer: (D)

BrentGMATPrepNow · Answer

Given :  w/(x + y) = 1

Target question :    What is the value of (x + y)/y ?

Statement 1 : x/y = 3/2  
  Useful (and often-tested) fraction property: (a+b)/c = a/c + b/c  
The target question asks us to find the value of  (x + y)/y .
When we apply the above property, we see that  (x + y)/y = x/y + y/y = x/y + 1 
So, if x/y = 3/2, then we can substitute to get:   (x + y)/y = x/y + y/y = 3/2 + 1 = 5/2  
Since we can answer the  target question  with certainty, statement 1 is SUFFICIENT

Statement 2 : y/w = 2/5 
Let's first take the given equation:   w/(x + y) = 1  
The fraction equals 1, we know that the numerator and denominator must be equal. 
In other words:  w = x + y  
We can take the target question,   What is the value of (x + y)/y ?   and substitute to get the  rephrased  target question   What is the value of w/y ?  
Statement 2 tells us that y/w = 2/5.
Taking the reciprocal of both sides we get:   w/y = 5/2  
Since we can answer the   rephrased target question  with certainty, statement 2 is SUFFICIENT

Answer: D

Cheers,
Brent

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If w/(x + y) = 1, what is the value of (x + y)/y ?

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If w/(x + y) = 1, what is the value of (x + y)/y ?

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