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 having volumes in the ratio 3:5 are filled with [#permalink]

Show Tags

18 Sep 2013, 08:48

3

This post received KUDOS

6

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

35% (medium)

Question Stats:

75% (02:11) correct
25% (02:13) wrong based on 315 sessions

HideShow timer Statistics

Two vessels having volumes in the ratio 3:5 are filled with water and milk solutions. The ratio of milk and water in the two vessels are 2:3 and 3:1 respectively. If the contents of both the vessel are empties into a larger vessel, find the ratio of milk and water in the larger vessel.

Two vessels having volumes in the ratio 3:5 are filled with water and milk solutions. The ratio of milk and water in the two vessels are 2:3 and 3:1 respectively. If the contents of both the vessel are empties into a larger vessel, find the ratio of milk and water in the larger vessel.

A) 99:61 B) 99:160 C) 61:160 D) 61:99 E) 99:160

Vessel A = 300 gallons --> milk = 120, water = 180; Vessel B = 500 gallons --> milk = 375, water = 125;

Vessel A + B = 800 gallons --> milk = 495, water 305.

Re: Two vessels having volumes in the ratio 3:5 are filled with [#permalink]

Show Tags

18 Sep 2013, 09:42

1

This post received KUDOS

I solved this by drawing two canisters with the milk/water proportions and then set them equal (2:3 becomes 6:9 and 3:1 becomes 6:2). Once we draw the final (biggest) canister we can see that the proportion of milk (6+6=12) is larger than the proportion of water (2+9=11) and the answer "A"is the only one that gives us this choice

Re: Two vessels having volumes in the ratio 3:5 are filled [#permalink]

Show Tags

19 Sep 2013, 18:19

Can you explain how you quickly arrived at 300 : 500 gallons?

I understand that A needs to be a multiple of 5, and B of 4, but I'm not quite sure how to find good values to use in a time efficient manner. I started at 15 and 25, then went up, and it took me too long...

Thanks

Bunuel wrote:

abid1986 wrote:

Two vessels having volumes in the ratio 3:5 are filled with water and milk solutions. The ratio of milk and water in the two vessels are 2:3 and 3:1 respectively. If the contents of both the vessel are empties into a larger vessel, find the ratio of milk and water in the larger vessel.

A) 99:61 B) 99:160 C) 61:160 D) 61:99 E) 99:160

Vessel A = 300 gallons --> milk = 120, water = 180; Vessel B = 500 gallons --> milk = 375, water = 125;

Vessel A + B = 800 gallons --> milk = 495, water 305.

Can you explain how you quickly arrived at 300 : 500 gallons?

I understand that A needs to be a multiple of 5, and B of 4, but I'm not quite sure how to find good values to use in a time efficient manner. I started at 15 and 25, then went up, and it took me too long...

Thanks

Bunuel wrote:

abid1986 wrote:

Two vessels having volumes in the ratio 3:5 are filled with water and milk solutions. The ratio of milk and water in the two vessels are 2:3 and 3:1 respectively. If the contents of both the vessel are empties into a larger vessel, find the ratio of milk and water in the larger vessel.

A) 99:61 B) 99:160 C) 61:160 D) 61:99 E) 99:160

Vessel A = 300 gallons --> milk = 120, water = 180; Vessel B = 500 gallons --> milk = 375, water = 125;

Vessel A + B = 800 gallons --> milk = 495, water 305.

The ratio = 495/305 --> reduce by 5 = 99/61.

Answer: A.

I chose big numbers in the ratio 3 to 5. So, that A is also a multiple of 5 and B is also a multiple of 4 (since the ratio of milk and water in the two vessels are 2:3 (5 parts) and 3:1 (4 parts) respectively, then A should be a multiple of 5 and B should be a multiple of 4).
_________________

Can you explain how you quickly arrived at 300 : 500 gallons?

I understand that A needs to be a multiple of 5, and B of 4, but I'm not quite sure how to find good values to use in a time efficient manner. I started at 15 and 25, then went up, and it took me too long...

Thanks

Bunuel wrote:

abid1986 wrote:

Two vessels having volumes in the ratio 3:5 are filled with water and milk solutions. The ratio of milk and water in the two vessels are 2:3 and 3:1 respectively. If the contents of both the vessel are empties into a larger vessel, find the ratio of milk and water in the larger vessel.

A) 99:61 B) 99:160 C) 61:160 D) 61:99 E) 99:160

Vessel A = 300 gallons --> milk = 120, water = 180; Vessel B = 500 gallons --> milk = 375, water = 125;

Vessel A + B = 800 gallons --> milk = 495, water 305.

The ratio = 495/305 --> reduce by 5 = 99/61.

Answer: A.

A few pointers when assuming numbers: Try to stick to multiples of 10 or 100 as the case may be. Given 3:5, I would first look at 30 and 50 or 300 and 500. I would not look at 15 and 25 because when I am assuming value, nothing says they need to be as small as possible. Answer won't change even if they are a little larger but with multiples of 10, my calculations may be much simpler. Next, I need first one to be a multiple of 5 and the next one to be a multiple of 4. 30 and 50 will not satisfy but 300 and 500 will.
_________________

I think we can always multiply the two total parts of the proportions, i.e 2:3 =5 parts and 3:1 = 4 parts and 5*4=20

then follow the process that bunuel explained. ???

I am not sure what you mean. Do you mean to say that we can take the volume of vessel A as 20 gallons? or do you mean that we can take the volume of vessel A as 20*3 gallons?

Note that either case will be correct because when you are assuming numbers, you will get the correct answer for every correct set of numbers you take. The point is of convenience. If vessel A has volume of 20 gallons, the volume of vessel B will not be a whole number.

Vessel A = 20 gallons --> milk = 8, water = 12; Vessel B = 100/3 gallons --- complications

If volume of vessel A is taken as 20*3 = 60 gallons, then it is fine. Vessel A = 20*3 gallons = 60 gallons --> milk = 24, water = 36; Vessel B = 20*5 gallons = 100 gallons --> milk = 75, water = 25;

Total milk:water = (24+75):(36+25) = 99:61
_________________

Dear Karishma, Please help explain how we can use your scale method to solve this question. Here'e up to where i got.

2/5 3/8 ¾ 31/40 9/8

Then I flipped the two ratios so its 9/8 to 31/40 Then I got stuck.

Ps. Sorry the lines wouldn't appear

According to scale method:

w1/w2 = (C2 - Cavg)/(Cavg - C1)

3/5 = (3/4 - Cavg)/(Cavg - 2/5) (Working with only milk here. Note that concentration of milk is 3/4 in second vessel since milk:water is 3:1. Also, the ratio of the volume of two solutions that are mixed is 3:5. It is not the concentration of milk in the final solution. So w1/w2 = 3/5)

8/5Cavg = 3/4 + 6/25 Cavg = 99/160

Milk:Water in final solution = 99:61
_________________

Re: Two vessels having volumes in the ratio 3:5 are filled with [#permalink]

Show Tags

31 Aug 2015, 01:56

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.
_________________

Re: Two vessels having volumes in the ratio 3:5 are filled with [#permalink]

Show Tags

01 Jul 2017, 23:50

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.
_________________

Re: Two vessels having volumes in the ratio 3:5 are filled with [#permalink]

Show Tags

02 Jul 2017, 12:00

abid1986 wrote:

Two vessels having volumes in the ratio 3:5 are filled with water and milk solutions. The ratio of milk and water in the two vessels are 2:3 and 3:1 respectively. If the contents of both the vessel are empties into a larger vessel, find the ratio of milk and water in the larger vessel.

A) 99:61 B) 99:160 C) 61:160 D) 61:99 E) 99:160

let x=ratio of milk to total volume x=(2/5*3/8)+(3/4*5/8) x=99/160 160-99=61 ratio of milk to water=99:61 A