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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Two vessels contain mixtures of milk and water in the ratio of 4:9 in [#permalink]

Show Tags

16 Aug 2011, 16:16

3

This post received KUDOS

4

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

(N/A)

Question Stats:

78% (02:56) correct
22% (02:57) wrong based on 20 sessions

HideShow timer Statistics

Two vessels contain mixtures of milk and water in the ratio of 4:9 in the first vessel and in the ratio of 2:7 in the second vessel. In what ratio should the contents be mixed such that the resultant mixture has milk and water in the ratio of 2:5.
_________________

Re: Two vessels contain mixtures of milk and water in the ratio of 4:9 in [#permalink]

Show Tags

16 Aug 2011, 22:07

2

This post received KUDOS

maheshsrini wrote:

Two vessels contain mixtures of milk and water in the ratio of 4:9 in the first vessel and in the ratio of 2:7 in the second vessel. In what ratio should the contents be mixed such that the resultant mixture has milk and water in the ratio of 2:5.

By just considering milk from the total parts:

I guess it should be the reciprocal of: \(\frac{\frac{4}{13}-\frac{2}{7}}{\frac{2}{7}-\frac{2}{9}}\)
_________________

Re: Two vessels contain mixtures of milk and water in the ratio of 4:9 in [#permalink]

Show Tags

16 Aug 2011, 23:30

3

This post received KUDOS

2

This post was BOOKMARKED

Let 1st vessel contains X liters of mixture of milk and water. Milk in 1st vessel = 4/13x Water in 1st vessel=9/13x Let 2nd vessel contains Y liters of mixture of milk and water Milk in 2nd vessel = 2/9y Water in 2nd vessel =7/9y Let the two mixture combine such that the milk to water ratio is 2:5 4x/13 + 2y/9 / 9x/13 +7/9y =2/5 36x+26y/81x+91y=2/5 180x+130y=162x+182y 18x=52y x/y=26/9 Hence mixture from vessel 1 and vessel 2 should be mixed in the ratio 26/9 for milk and water to be in ratio 2:5
_________________

My dad once said to me: Son, nothing succeeds like success.

Re: Two vessels contain mixtures of milk and water in the ratio of 4:9 in [#permalink]

Show Tags

17 Aug 2011, 05:32

jamifahad wrote:

Let 1st vessel contains X liters of mixture of milk and water. Milk in 1st vessel = 4/13x Water in 1st vessel=9/13x Let 2nd vessel contains Y liters of mixture of milk and water Milk in 2nd vessel = 2/9y Water in 2nd vessel =7/9y Let the two mixture combine such that the milk to water ratio is 2:5 4x/13 + 2y/9 / 9x/13 +7/9y =2/5 36x+26y/81x+91y=2/5 180x+130y=162x+182y 18x=52y x/y=26/9 Hence mixture from vessel 1 and vessel 2 should be mixed in the ratio 26/9 for milk and water to be in ratio 2:5

well..i get ur method..but a quick stupid ques...y didn't u take Milk as x & Water as y in both the vessels..

Let 1st vessel contains X liters of mixture of milk and water. Milk in 1st vessel = 4/13x Water in 1st vessel=9/13x Let 2nd vessel contains Y liters of mixture of milk and water Milk in 2nd vessel = 2/9y Water in 2nd vessel =7/9y Let the two mixture combine such that the milk to water ratio is 2:5 4x/13 + 2y/9 / 9x/13 +7/9y =2/5 36x+26y/81x+91y=2/5 180x+130y=162x+182y 18x=52y x/y=26/9 Hence mixture from vessel 1 and vessel 2 should be mixed in the ratio 26/9 for milk and water to be in ratio 2:5

well..i get ur method..but a quick stupid ques...y didn't u take Milk as x & Water as y in both the vessels..

Because the volume of milk and water in the two vessels is not the same. The volume of the mixture in the two vessels is not the same too. If you are getting confused with variables, try fluke's method. It is quick and clean.

Re: Two vessels contain mixtures of milk and water in the ratio of 4:9 in [#permalink]

Show Tags

08 Oct 2011, 16:41

Two vessels contain mixtures of milk and water in the ration of 4:9 in the 1st vessel and 2:7 in the 2nd vessel. In what ratio should the contents of these two vessels be mixed such that the resultant mixture has milk and water in the ratio of 2:5?
_________________

Re: Two vessels contain mixtures of milk and water in the ratio of 4:9 in [#permalink]

Show Tags

09 Oct 2011, 02:26

maheshsrini wrote:

Two vessels contain mixtures of milk and water in the ration of 4:9 in the 1st vessel and 2:7 in the 2nd vessel. In what ratio should the contents of these two vessels be mixed such that the resultant mixture has milk and water in the ratio of 2:5?

Is the volume of both vessels are same?
_________________

Re: Two vessels contain mixtures of milk and water in the ratio of 4:9 in [#permalink]

Show Tags

10 Oct 2011, 03:02

gopu106 wrote:

maheshsrini wrote:

Two vessels contain mixtures of milk and water in the ration of 4:9 in the 1st vessel and 2:7 in the 2nd vessel. In what ratio should the contents of these two vessels be mixed such that the resultant mixture has milk and water in the ratio of 2:5?

Is the volume of both vessels are same?

no it's not same...since volume of milk and water in the vessels is not same..

Re: Two vessels contain mixtures of milk and water in the ratio of 4:9 in [#permalink]

Show Tags

26 Apr 2014, 19:34

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.
_________________

What is 4x here? Why are you taking x to be ratio of 1st concentration? Do you mean to say that x is 4:9 because ratio of milk:water in first solution is given to be 4:9. So what quantity does 4x signify?

What you can say is that volume of 1st solution = x and volume of second solution = y

We know that Concentration of milk * Volume = Amount of milk So 4/13 * x = Amount of milk in solution 1 2/9 * y = Amount of milk in solution 2 Similarly for water.

\(\frac{(4/13)*x + (2/9)*y}{(9/13)*x + (7/9)*y} = \frac{2}{5}\) = Amount of milk in total solution/Amount of water in total solution

Re: Two vessels contain mixtures of milk and water in the ratio of 4:9 in [#permalink]

Show Tags

03 Sep 2016, 23:27

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.
_________________

It’s quickly approaching two years since I last wrote anything on this blog. A lot has happened since then. When I last posted, I had just gotten back from...

Since my last post, I’ve got the interview decisions for the other two business schools I applied to: Denied by Wharton and Invited to Interview with Stanford. It all...