NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 02:49 It is currently 26 Apr 2024, 02:49
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

If w/x = 2/3 and w/y = 8/15, then (x + y)/y =

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92929
Own Kudos [?]: 619100 [9]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
If w/x = 2/3 and w/y = 8/15, then (x + y)/y = [#permalink] New post   27 Feb 2015, 05:54
6
Kudos
3
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

85% (01:23) correct 15% (01:51) wrong based on 182 sessions
Hide Show timer Statistics
If w/x = 2/3 and w/y = 8/15, then (x + y)/y =

A. 4/5
B. 6/5
C. 7/5
D. 8/5
E. 9/5


Kudos for a correct solution.
ShowHide Answer
Official Answer
E
User avatar
L
EMPOWERgmatRichC
GMAT Club Legend
GMAT Club Legend
Joined: 19 Dec 2014
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Posts: 21846
Own Kudos [?]: 11668 [4]
Given Kudos: 450
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Send PM
Re: If w/x = 2/3 and w/y = 8/15, then (x + y)/y = [#permalink] New post   27 Feb 2015, 14:21
2
Kudos
2
Bookmarks
Expert Reply
Hi All,

While many Test Takers would go about solving this problem with Algebra, TESTing VALUES provides an easy approach.

We're told that W/X = 2/3 and W/Y = 8/15

Given these two ratios, we know that W is a multiple of 2 and a multiple of 8. The simplest value for W is 8....

W = 8
X = 12
Y = 15

Using these values, we can now answer the question: (X+Y)/Y = .....

(12 + 15)/15 = 27/15 = 9/5

Final Answer:
Show Spoiler
E


GMAT assassins aren't born, they're made,
Rich
User avatar
B
ak1802
Manager
Manager
Joined: 26 May 2013
Posts: 80
Own Kudos [?]: 65 [1]
Given Kudos: 32
Send PM
Re: If w/x = 2/3 and w/y = 8/15, then (x + y)/y = [#permalink] New post   Updated on: 27 Feb 2015, 19:25
1
Kudos
Ratio 1:

3w = 2x
multiple of 5:
15w = 10x

Ratio 2:

15w = 8y

LCM of 8, 15, 10 = 120.

Ratio 1 : 15(8) = 10(12)
therefore x = 12

Ratio 2 : 15(8) = 8(15)
therefore y = 15

(15+12)/15 is reduced to 9/5.

Answer E. 9/5

Posted from my mobile device

Originally posted by ak1802 on 27 Feb 2015, 08:22.
Last edited by ak1802 on 27 Feb 2015, 19:25, edited 1 time in total.
avatar
B
OptimusPrepJanielle
SVP
SVP
Joined: 06 Nov 2014
Posts: 1798
Own Kudos [?]: 1368 [1]
Given Kudos: 23
Send PM
Re: If w/x = 2/3 and w/y = 8/15, then (x + y)/y = [#permalink] New post   27 Feb 2015, 09:52
1
Kudos
Expert Reply
Bunuel wrote:
If w/x = 2/3 and w/y = 8/15, then (x + y)/y =

A. 4/5
B. 6/5
C. 7/5
D. 8/5
E. 9/5


Kudos for a correct solution.


We need (x+y)/y
= x/y + 1
Now, w/x = 2/3 => x = (3w)/2
Also, w/y = 8/15 => y = (15w)/8
We need x/y + 1
= (3w/2) / (15w/8) + 1
= (3w/2) * (8/15w) + 1
= 4/5 + 1
= 9/5
Hence option E.

--
Optimus Prep's GMAT On Demand course for only $299 covers all verbal and quant. concepts in detail. Visit the following link to get your 7 days free trial account: https://www.optimus-prep.com/gmat-on-demand-course
User avatar
B
ak1802
Manager
Manager
Joined: 26 May 2013
Posts: 80
Own Kudos [?]: 65 [0]
Given Kudos: 32
Send PM
Re: If w/x = 2/3 and w/y = 8/15, then (x + y)/y = [#permalink] New post   27 Feb 2015, 19:26
EMPOWERgmatRichC wrote:
Hi All,

While many Test Takers would go about solving this problem with Algebra, TESTing VALUES provides an easy approach.

We're told that W/X = 2/3 and W/Y = 8/15

Given these two ratios, we know that W is a multiple of 2 and a multiple of 8. The simplest value for W is 8....

W = 8
X = 12
Y = 15

Using these values, we can now answer the question: (X+Y)/Y = .....

(12 + 15)/15 = 27/15 = 9/5

Final Answer:
Show Spoiler
E


GMAT assassins aren't born, they're made,
Rich


I took the same approach, however by finding the LCM of all the numbers involved you aren't necessarily "testing" numbers. The integer you found WILL work.
User avatar
L
EMPOWERgmatRichC
GMAT Club Legend
GMAT Club Legend
Joined: 19 Dec 2014
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Posts: 21846
Own Kudos [?]: 11668 [0]
Given Kudos: 450
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Send PM
Re: If w/x = 2/3 and w/y = 8/15, then (x + y)/y = [#permalink] New post   27 Feb 2015, 19:41
Expert Reply
Hi ak1802,

I didn't have to use the LCM; I chose to TEST VALUES that were the easiest AND fit the 'restrictions' that we were given. In a 'TEST VALUES' prompt, there may or may not be 'restrictions.' If there are few/no restrictions, then you have more freedom to TEST values that strike you as easy to work with. The more restrictions there are, the more specific you have to be with the VALUES that you TEST.

Here's another example that doesn't use the LCM....

W/X = 2/3 and W/Y = 8/15

W = 16
X = 24
Y = 30

(X+Y)/Y = (24+30)/30 = 54/30 = 9/5

It still gets us the correct answer.

GMAT assassins aren't born, they're made,
Rich
User avatar
B
ak1802
Manager
Manager
Joined: 26 May 2013
Posts: 80
Own Kudos [?]: 65 [0]
Given Kudos: 32
Send PM
Re: If w/x = 2/3 and w/y = 8/15, then (x + y)/y = [#permalink] New post   27 Feb 2015, 19:49
EMPOWERgmatRichC wrote:
Hi ak1802,

I didn't have to use the LCM; I chose to TEST VALUES that were the easiest AND fit the 'restrictions' that we were given. In a 'TEST VALUES' prompt, there may or may not be 'restrictions.' If there are few/no restrictions, then you have more freedom to TEST values that strike you as easy to work with. The more restrictions there are, the more specific you have to be with the VALUES that you TEST.

Here's another example that doesn't use the LCM....

W/X = 2/3 and W/Y = 8/15

W = 16
X = 24
Y = 30

(X+Y)/Y = (24+30)/30 = 54/30 = 9/5

It still gets us the correct answer.

GMAT assassins aren't born, they're made,
Rich


All I'm saying is that the value wasn't necessarily being "tested", given the restrictions on it. You found the LCM of X, Y, and Z. If this number was calculated properly, you aren't really "testing" an integer. This integer WILL fit the given rations.

I suppose it's just the semantics of "testing", which I associate some level of uncertainty with. Whereas in this case, there is no uncertainty, as the number both of us used was the LCM.

Don't get me wrong, I am a big supporter of using SMART numbers when "testing" for solutions. However I suppose I just felt that classifying this as testing sounds misleading.
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92929
Own Kudos [?]: 619100 [0]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Re: If w/x = 2/3 and w/y = 8/15, then (x + y)/y = [#permalink] New post   02 Mar 2015, 05:50
Expert Reply
Bunuel wrote:
If w/x = 2/3 and w/y = 8/15, then (x + y)/y =

A. 4/5
B. 6/5
C. 7/5
D. 8/5
E. 9/5


Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION:
Attachment:
wxandy_text.PNG
wxandy_text.PNG [ 13.86 KiB | Viewed 8034 times ]
User avatar
G
NDND
Manager
Manager
Joined: 26 Sep 2017
Status:Enjoying the Journey
Affiliations: ND
Posts: 100
Own Kudos [?]: 246 [0]
Given Kudos: 655
Schools: Rotman '21
WE:Marketing (Consulting)
Send PM
Re: If w/x = 2/3 and w/y = 8/15, then (x + y)/y = [#permalink] New post   14 Nov 2017, 06:54
Bunuel wrote:
Bunuel wrote:
If w/x = 2/3 and w/y = 8/15, then (x + y)/y =

A. 4/5
B. 6/5
C. 7/5
D. 8/5
E. 9/5


Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION:
Attachment:
wxandy_text.PNG



Correct Answer: E
(x+y)/y = (x/y) +1
so, if we need to get the value of x/y

by dividing w/x by w/y we get the following:

w/x ÷ w/y = w/x *y/w=y/x = 2/3*15/8= 5/4

Therefore x/y=4/5
(x+y)/y= (x/y)+1= 4/5+5/5=9/5 ==> E
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6072
Own Kudos [?]: 4690 [0]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Re: If w/x = 2/3 and w/y = 8/15, then (x + y)/y = [#permalink] New post   14 Nov 2017, 09:34
Bunuel wrote:
If w/x = 2/3 and w/y = 8/15, then (x + y)/y =

A. 4/5
B. 6/5
C. 7/5
D. 8/5
E. 9/5


Kudos for a correct solution.


\(\frac{w}{x} = \frac{2}{3}\) Or, \(\frac{w}{x} = \frac{8}{12}\)

And, \(\frac{w}{y} = \frac{8}{15}\)

So, \(w = 8\) , \(x = 12\) & \(y = 15\)

Thus, \frac{(x + y)}{y} = \frac{12 + 15}{15}

= \(\frac{27}{15}\)

= \(\frac{9}{5}\), answer will be (E)
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32678
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: If w/x = 2/3 and w/y = 8/15, then (x + y)/y = [#permalink] New post   07 Jun 2023, 06:48
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
gmatclubot
Re: If w/x = 2/3 and w/y = 8/15, then (x + y)/y = [#permalink]
07 Jun 2023, 06:48
Moderators:
Bunuel
Math Expert
92929 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions