Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 19 Jul 2019, 03:24

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

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

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 56302
If w/(x + y) = 1, what is the value of (x + y)/y ?  [#permalink]

### Show Tags

13 Aug 2018, 03:23
00:00

Difficulty:

45% (medium)

Question Stats:

63% (01:12) correct 37% (01:32) wrong based on 60 sessions

### HideShow timer Statistics

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

(1) x/y = 3/2

(2) y/w = 2/5

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 7764
Re: If w/(x + y) = 1, what is the value of (x + y)/y ?  [#permalink]

### Show Tags

13 Aug 2018, 03:35
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
_________________
VP
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1028
WE: Supply Chain Management (Energy and Utilities)
If w/(x + y) = 1, what is the value of (x + y)/y ?  [#permalink]

### Show Tags

13 Aug 2018, 07:16
Bunuel wrote:
If w/(x + y) = 1, what is the value of (x + y)/y ?

(1) x/y = 3/2

(2) y/w = 2/5

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)
_________________
Regards,

PKN

Rise above the storm, you will find the sunshine
Senior Manager
Joined: 07 Jul 2012
Posts: 372
Location: India
Concentration: Finance, Accounting
GPA: 3.5
Re: If w/(x + y) = 1, what is the value of (x + y)/y ?  [#permalink]

### Show Tags

13 Aug 2018, 10:06
$$\frac{(x+y)}{y}$$= $$\frac{x}{y}$$+1............................(a)

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

$$\frac{3}{2}$$+1= $$\frac{5}{2}$$ [Suff]

$$\frac{w}{(x+y)}$$= 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 $$\frac{(x+y)}{y}$$= $$\frac{5}{2}$$ [Suff]

_________________
Kindly hit kudos if my post helps!
Re: If w/(x + y) = 1, what is the value of (x + y)/y ?   [#permalink] 13 Aug 2018, 10:06
Display posts from previous: Sort by

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

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne