GMAT Changed on April 16th - Read about the latest changes here

It is currently 26 Apr 2018, 06:31

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

1 KUDOS received
Manager
Manager
avatar
B
Joined: 23 Nov 2014
Posts: 61
Two vessels A and B contain milk and water mixed in the ratio 8:5 and [#permalink]

Show Tags

New post Updated on: 14 May 2016, 09:41
1
This post received
KUDOS
11
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

71% (01:44) correct 29% (02:21) wrong based on 234 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

Originally posted by ruchi857 on 14 May 2016, 09:11.
Last edited by ruchi857 on 14 May 2016, 09:41, edited 1 time in total.
Expert Post
2 KUDOS received
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 5777
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
5
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


GMAT online Tutor

SC Moderator
User avatar
P
Joined: 13 Apr 2015
Posts: 1620
Location: India
Concentration: Strategy, General Management
WE: Analyst (Retail)
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
2
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
Manager
Manager
User avatar
B
Joined: 16 Jan 2013
Posts: 96
Location: Bangladesh
GMAT 1: 490 Q41 V18
GMAT 2: 610 Q45 V28
GPA: 2.75
Premium Member
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>>

Expert Post
3 KUDOS received
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 5777
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
2
This post was
BOOKMARKED
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


GMAT online Tutor

Director
Director
avatar
G
Joined: 07 Dec 2014
Posts: 967
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
1 KUDOS received
Manager
Manager
User avatar
G
Joined: 22 Nov 2016
Posts: 238
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
1
This post received
KUDOS
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.

1 KUDOS received
Manager
Manager
avatar
B
Joined: 04 May 2014
Posts: 162
Location: India
WE: Sales (Mutual Funds and Brokerage)
Two vessels A and B contain milk and water mixed in the ratio 8:5 and [#permalink]

Show Tags

New post 14 Nov 2017, 07:08
1
This post received
KUDOS
In questions like this concentrate only on one of the ingredients of the mixture.

Let us take milk.

what is the percentage of milk in A=8/13. (When we have a ratio like given in this question 8:5 add them to get the total)

% of milk in B=5/7

% of milk after mixing=9/13=average after mixing 2 solutions or mixtures.

use weighted average formula

w1/w2=(A2-avg)/(avg-A1). Here A1=A and A2=B

A1=8/13, A2=5/7 and Avg=9/13. (You can take A1 and A2 as any of the given value and you will get the same answer)

w1/w2=(5/7-9/13)÷(9/13-8/13)=[(65-63)/91]÷[(9-8)/13]=2/91÷1/13=2/7 or 2:7 answer is =A
Intern
Intern
avatar
Joined: 23 Mar 2018
Posts: 1
Re: Two vessels A and B contain milk and water mixed in the ratio 8:5 and [#permalink]

Show Tags

New post 23 Mar 2018, 04:07
8/13 5/7
\
\
9/13
\
\
2/91 1/13

=2/91:1/13= 2/91*13/1
=2/7 (answer)

Posted from my mobile device
Expert Post
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2297
Re: Two vessels A and B contain milk and water mixed in the ratio 8:5 and [#permalink]

Show Tags

New post 26 Mar 2018, 17:36
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


We can create the ratios:

Vessel A:

milk : water = 8x : 5x and so 8x + 5x = 13x (Eq. 1)

Vessel B:

milk : water = 5y : 2y and so 5y + 2y = 7y (Eq. 2)

We can create the equation:

(8x + 5y)/(5x + 2y) = 9/4

4(8x + 5y) = 9(5x + 2y)

32x + 20y = 45x + 18y

2y = 13x (Eq. 3)

Notice that Eq. 1 stated that 8x + 5x = 13x; thus, in terms of y, we use Eq. 3 to state that vessel A has an amount of 2y, and vessel B has an amount of 5y + 2y = 7y (from Eq. 2). Thus, the ratio of the amount in vessel A to the amount in vessel B is 2y/7y = 2/7.

Answer: A
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: Two vessels A and B contain milk and water mixed in the ratio 8:5 and   [#permalink] 26 Mar 2018, 17:36
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®.