It is currently 17 Oct 2017, 17:51

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Two vessels A and B contain milk and water mixed in the ratio 8:5 and

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

Hide Tags

Manager
Manager
avatar
B
Joined: 23 Nov 2014
Posts: 59

Kudos [?]: 56 [0], given: 301

Two vessels A and B contain milk and water mixed in the ratio 8:5 and [#permalink]

Show Tags

New post 14 May 2016, 09:11
7
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

75% (01:46) correct 25% (02:06) wrong based on 118 sessions

HideShow timer Statistics

Two vessels A and B contain milk and water mixed in the ratio 8:5 and 5:2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing milk and water in the ratio 9:4

A) 2:7
B) 5:2
C) 3:5
D) 5:7
[Reveal] Spoiler: OA

Last edited by ruchi857 on 14 May 2016, 09:41, edited 1 time in total.

Kudos [?]: 56 [0], given: 301

Expert Post
2 KUDOS received
Math Forum Moderator
avatar
P
Joined: 02 Aug 2009
Posts: 4967

Kudos [?]: 5453 [2], given: 112

Re: Two vessels A and B contain milk and water mixed in the ratio 8:5 and [#permalink]

Show Tags

New post 14 May 2016, 09:32
2
This post received
KUDOS
Expert's post
2
This post was
BOOKMARKED
ruchi857 wrote:
Two vessels A and B contain milk and water mixed in the ratio 8:5 and 5:2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing milk and water in the ratio 9:4

A) 2:7
B) 5:2
C) 3:5
D) 5:7


Hi,
your OA is wrong ..
say A qty of vessel A and B qty of vessel B is added together..
Lets concentrate on quantity of milk


\(\frac{8A}{13}+ \frac{5B}{7}= \frac{9}{13}(A+B)\) ...

\(\frac{8A}{13}+ \frac{5B}{7}= \frac{9A}{13}+\frac{9B}{13})\) ..

\(\frac{5B}{7}-\frac{9B}{13}=\frac{9A}{13}-8A/13\).....

\(\frac{65B-63B}{7*13}=\frac{A}{13}\)...

\(\frac{2B}{7*13}=\frac{A}{13}\)....

\(\frac{A}{B}=\frac{2}{7}\)

A
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 5453 [2], given: 112

Math Forum Moderator
User avatar
P
Joined: 13 Apr 2015
Posts: 1501

Kudos [?]: 1102 [0], given: 884

Location: India
Concentration: Strategy, General Management
WE: Information Technology (Consulting)
GMAT ToolKit User Premium Member CAT Tests
Re: Two vessels A and B contain milk and water mixed in the ratio 8:5 and [#permalink]

Show Tags

New post 14 May 2016, 09:52
1
This post was
BOOKMARKED
Another method:

Required Ratio = \(\frac{\frac{5}{7} - \frac{9}{13}}{\frac{9}{13} - \frac{8}{13}}\) = \(\frac{2}{7}\)

Answer: A

Kudos [?]: 1102 [0], given: 884

Manager
Manager
User avatar
B
Joined: 16 Jan 2013
Posts: 93

Kudos [?]: 3 [0], given: 1192

Location: Bangladesh
GMAT 1: 490 Q41 V18
GPA: 2.75
Premium Member CAT Tests
Re: Two vessels A and B contain milk and water mixed in the ratio 8:5 and [#permalink]

Show Tags

New post 06 Jun 2016, 04:42
Not sure what’s wrong with the following approach:

In vessel A: milk = 8x, water = 5x
In vessel B: milk = 5y, water = 2y
According to the question stem 8x + 5y : 5x + 2y should equal to 9:4

Hence, 8x + 5y / 5x + 2y = 9/4
=> 2y = 13x
=> x/y = 2/13 :|

Could someone please clarify?
Regards.
_________________

Heading towards perfection>>

Kudos [?]: 3 [0], given: 1192

Expert Post
3 KUDOS received
Math Forum Moderator
avatar
P
Joined: 02 Aug 2009
Posts: 4967

Kudos [?]: 5453 [3], given: 112

Re: Two vessels A and B contain milk and water mixed in the ratio 8:5 and [#permalink]

Show Tags

New post 06 Jun 2016, 09:07
3
This post received
KUDOS
Expert's post
ranaazad wrote:
Not sure what’s wrong with the following approach:

In vessel A: milk = 8x, water = 5x
In vessel B: milk = 5y, water = 2y
According to the question stem 8x + 5y : 5x + 2y should equal to 9:4

Hence, 8x + 5y / 5x + 2y = 9/4
=> 2y = 13x
=> x/y = 2/13 :|

Could someone please clarify?
Regards.



Hi,

you have started well but left it in between....

it is fine till
\(\frac{x}{y} = \frac{2}{13}\).....
But we are not looking for x/y..
what is the total of FIRST mixture = 8x+5x = 13x....
and SECOND mix = 5y+2y = 7y...

so we are looking for \(\frac{13x}{7y}\)......
\(\frac{x}{y}= \frac{2}{13}\), so\(\frac{x}{y}*\frac{13}{7} = \frac{2}{13}*\frac{13}{7}.......... \frac{13x}{7y} = \frac{2}{7}\)....
ans\(\frac{2}{7}\)
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 5453 [3], given: 112

Director
Director
avatar
G
Joined: 07 Dec 2014
Posts: 811

Kudos [?]: 247 [0], given: 12

Two vessels A and B contain milk and water mixed in the ratio 8:5 and [#permalink]

Show Tags

New post 17 Jul 2016, 11:08
8A/13+5B/7=9/13(A+B)
A/B=2/7
A:B=2:7

Kudos [?]: 247 [0], given: 12

Manager
Manager
User avatar
S
Joined: 22 Nov 2016
Posts: 199

Kudos [?]: 36 [0], given: 38

Location: United States
Concentration: Leadership, Strategy
GPA: 3.4
Reviews Badge
Two vessels A and B contain milk and water mixed in the ratio 8:5 and [#permalink]

Show Tags

New post 16 Oct 2017, 09:16
There are two equations here, either one of which, when solved, will get you the final answer.

1) \((\frac{8}{13})*X + (\frac{5}{7})*Y = (\frac{9}{13})*(X+Y)\)

2) \((\frac{5}{13})*X + (\frac{2}{7})*Y = (\frac{4}{13})*(X+Y)\)

Both equations lead to\(\frac{X}{Y} = \frac{2}{7}\)
_________________

Kudosity killed the cat but your kudos can save it.

Kudos [?]: 36 [0], given: 38

Two vessels A and B contain milk and water mixed in the ratio 8:5 and   [#permalink] 16 Oct 2017, 09:16
Display posts from previous: Sort by

Two vessels A and B contain milk and water mixed in the ratio 8:5 and

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


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.