Two vessels having volumes in the ratio 3:5 are filled with : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 18 Jan 2017, 06:34

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Two vessels having volumes in the ratio 3:5 are filled with

Author Message
TAGS:

### Hide Tags

Manager
Joined: 01 Jan 2013
Posts: 67
Location: India
Followers: 0

Kudos [?]: 27 [2] , given: 131

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

### Show Tags

18 Sep 2013, 07:48
2
KUDOS
4
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

74% (03:06) correct 26% (01:59) wrong based on 218 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.

A) 99:61
B) 99:160
C) 61:160
D) 61:99
E) 99:160
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 36545
Followers: 7075

Kudos [?]: 93078 [1] , given: 10542

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

### Show Tags

18 Sep 2013, 07:55
1
KUDOS
Expert's post
1
This post was
BOOKMARKED
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.

_________________
Intern
Joined: 28 Mar 2012
Posts: 6
Location: Yugoslavia
Concentration: Accounting, Finance
GMAT 1: 650 Q V
GPA: 3.75
Followers: 0

Kudos [?]: 8 [1] , given: 21

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

### Show Tags

18 Sep 2013, 08:42
1
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
Intern
Joined: 18 Aug 2013
Posts: 18
Followers: 0

Kudos [?]: 4 [0], given: 6

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

### Show Tags

19 Sep 2013, 17:19
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.

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

Math Expert
Joined: 02 Sep 2009
Posts: 36545
Followers: 7075

Kudos [?]: 93078 [0], given: 10542

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

### Show Tags

20 Sep 2013, 01:05
grant1377 wrote:
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.

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).
_________________
Intern
Joined: 10 Aug 2013
Posts: 20
Followers: 0

Kudos [?]: 9 [1] , given: 17

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

### Show Tags

21 Sep 2013, 20:42
1
KUDOS
1
This post was
BOOKMARKED
let volume of first vessel is 3 and second vessel is 5.

total volume of milk = 3(2/5)+5(3/4) = 99/20
total volume of water= 3(3/5)+5(1/4) = 61/20

Milk : water = 99:61
_________________

The First and Last time !!!

BKPL - Below Kudos Poverty Line .....Need your help.

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7121
Location: Pune, India
Followers: 2133

Kudos [?]: 13638 [0], given: 222

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

### Show Tags

24 Sep 2013, 01:58
grant1377 wrote:
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.

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.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Manager Joined: 28 Jul 2013 Posts: 93 Location: India Concentration: Marketing, Strategy GPA: 3.62 WE: Engineering (Manufacturing) Followers: 1 Kudos [?]: 34 [0], given: 37 Re: Two vessels having volumes in the ratio 3:5 are filled with [#permalink] ### Show Tags 06 Oct 2013, 02:24 @karishma: 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. ??? Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 7121 Location: Pune, India Followers: 2133 Kudos [?]: 13638 [0], given: 222 Re: Two vessels having volumes in the ratio 3:5 are filled with [#permalink] ### Show Tags 06 Oct 2013, 19:30 sayansarkar wrote: @karishma: 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 _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

Veritas Prep Reviews

Intern
Joined: 02 Jul 2013
Posts: 30
Concentration: Technology, Other
GMAT Date: 01-17-2014
GPA: 3.84
Followers: 0

Kudos [?]: 5 [0], given: 91

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

### Show Tags

26 Nov 2013, 01:35
Dear Karishma,
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
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7121
Location: Pune, India
Followers: 2133

Kudos [?]: 13638 [1] , given: 222

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

### Show Tags

27 Nov 2013, 19:45
1
KUDOS
Expert's post
1
This post was
BOOKMARKED
mumbijoh wrote:
Dear Karishma,
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
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for \$199

Veritas Prep Reviews

Intern
Joined: 02 Jul 2013
Posts: 30
Concentration: Technology, Other
GMAT Date: 01-17-2014
GPA: 3.84
Followers: 0

Kudos [?]: 5 [0], given: 91

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

### Show Tags

28 Nov 2013, 07:21
Karishma,
Your totally right.I must have misread that question.Thanks a lot for the clarification!
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13436
Followers: 575

Kudos [?]: 163 [0], given: 0

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

### Show Tags

31 Aug 2015, 00:56
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] 31 Aug 2015, 00:56
Similar topics Replies Last post
Similar
Topics:
6 Two vessels A and B contain milk and water mixed in the ratio 8:5 and 5 14 May 2016, 08:11
What is the ratio of the radii of two vessels of equal volumes if the 3 18 Aug 2015, 01:30
14 Two varieties of steel, A and B, have a ratio of iron to chromium as 5 4 24 May 2015, 08:03
20 Two vessels contain mixtures of milk and water in the ratio of 4:9 in 18 16 Aug 2011, 16:16
29 3 machines have a productivity ratio of 1 to 2 to 5. All 3 16 16 Feb 2011, 03:34
Display posts from previous: Sort by