Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 01 Jan 2013
Posts: 55
Location: India

Two vessels having volumes in the ratio 3:5 are filled with
[#permalink]
Show Tags
18 Sep 2013, 08:48
Question Stats:
74% (02:51) correct 26% (02:41) wrong based on 372 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
Official Answer and Stats are available only to registered users. Register/ Login.




Math Expert
Joined: 02 Sep 2009
Posts: 49430

Re: Two vessels having volumes in the ratio 3:5 are filled
[#permalink]
Show Tags
18 Sep 2013, 08:55




Intern
Joined: 28 Mar 2012
Posts: 4
Location: Yugoslavia
Concentration: Accounting, Finance
GPA: 3.75

Re: Two vessels having volumes in the ratio 3:5 are filled with
[#permalink]
Show Tags
18 Sep 2013, 09:42
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: 15

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. The ratio = 495/305 > reduce by 5 = 99/61. Answer: A.



Math Expert
Joined: 02 Sep 2009
Posts: 49430

Re: Two vessels having volumes in the ratio 3:5 are filled
[#permalink]
Show Tags
20 Sep 2013, 02:05
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. 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).
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Intern
Joined: 10 Aug 2013
Posts: 16

Re: Two vessels having volumes in the ratio 3:5 are filled with
[#permalink]
Show Tags
21 Sep 2013, 21:42
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: 8293
Location: Pune, India

Re: Two vessels having volumes in the ratio 3:5 are filled
[#permalink]
Show Tags
24 Sep 2013, 02:58
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. 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.
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
GMAT selfstudy has never been more personalized or more fun. Try ORION Free!



Manager
Joined: 28 Jul 2013
Posts: 78
Location: India
Concentration: Marketing, Strategy
GPA: 3.62
WE: Engineering (Manufacturing)

Re: Two vessels having volumes in the ratio 3:5 are filled with
[#permalink]
Show Tags
06 Oct 2013, 03:24
@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: 8293
Location: Pune, India

Re: Two vessels having volumes in the ratio 3:5 are filled with
[#permalink]
Show Tags
06 Oct 2013, 20:30
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
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
GMAT selfstudy has never been more personalized or more fun. Try ORION Free!



Intern
Joined: 02 Jul 2013
Posts: 20
Concentration: Technology, Other
GMAT Date: 01172014
GPA: 3.84

Re: Two vessels having volumes in the ratio 3:5 are filled with
[#permalink]
Show Tags
26 Nov 2013, 02:35
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



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8293
Location: Pune, India

Re: Two vessels having volumes in the ratio 3:5 are filled with
[#permalink]
Show Tags
27 Nov 2013, 20:45
mumbijoh wrote: 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
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
GMAT selfstudy has never been more personalized or more fun. Try ORION Free!



Intern
Joined: 02 Jul 2013
Posts: 20
Concentration: Technology, Other
GMAT Date: 01172014
GPA: 3.84

Re: Two vessels having volumes in the ratio 3:5 are filled with
[#permalink]
Show Tags
28 Nov 2013, 08:21
Karishma, Your totally right.I must have misread that question.Thanks a lot for the clarification!



VP
Joined: 07 Dec 2014
Posts: 1089

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 16099=61 ratio of milk to water=99:61 A



VP
Status: It's near  I can see.
Joined: 13 Apr 2013
Posts: 1266
Location: India
Concentration: International Business, Operations
GPA: 3.01
WE: Engineering (Consulting)

Re: Two vessels having volumes in the ratio 3:5 are filled with
[#permalink]
Show Tags
19 Jul 2018, 10:16
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 I was not able to decipher the way to solve this. I knew by looking at the ratios that milk is more than water, and only option A shows more milk than water. In rest of the choices water is more than milk as per given ratios. Bunuel : Is my logic right?
_________________
"Do not watch clock; Do what it does. KEEP GOING."




Re: Two vessels having volumes in the ratio 3:5 are filled with &nbs
[#permalink]
19 Jul 2018, 10:16






