February 20, 2019 February 20, 2019 08:00 PM EST 09:00 PM EST Strategies and techniques for approaching featured GMAT topics. Wednesday, February 20th at 8 PM EST February 21, 2019 February 21, 2019 10:00 PM PST 11:00 PM PST Kick off your 2019 GMAT prep with a free 7day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.
Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 27 Sep 2011
Posts: 13

A certain drink of type A is prepared by mixing 4 parts milk with 3 pa
[#permalink]
Show Tags
31 Oct 2011, 01:15
Question Stats:
80% (02:46) correct 20% (02:44) wrong based on 201 sessions
HideShow timer Statistics
A certain drink of type A is prepared by mixing 4 parts milk with 3 parts fruit juice. Another drink of type B is prepared by mixing 4 parts of fruit juice and 3 parts of milk. How many liters of fruit juice must be added to 14 liters of drink A to convert it to drink B ? a) 4 b) 2/3 c) 3.5 d) 3 e) None of these
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
All I want to be A Selfmade Man




Director
Joined: 13 Mar 2017
Posts: 703
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)

Re: A certain drink of type A is prepared by mixing 4 parts milk with 3 pa
[#permalink]
Show Tags
20 Aug 2017, 21:08
aselfmademan wrote: A certain drink of type A is prepared by mixing 4 parts milk with 3 parts fruit juice. Another drink of type B is prepared by mixing 4 parts of fruit juice and 3 parts of milk. How many liters of fruit juice must be added to 14 liters of drink A to convert it to drink B ?
a) 4 b) 2/3 c) 3.5 d) 3 e) None of these Type A : M/F = 4/3 , Type B : M/F = 3/4 Volume of Type A = 14 litres , So milk = 8 and Fruit juice = 6 Let x liters of fruit juice be added to the Drink A. Now 8 / (6+x) = 3/4 > 32 = 18 +3x > 3x = 14 > x = 4.66 Answer E
_________________
CAT 2017 (98.95) & 2018 (98.91) : 99th percentiler UPSC Aspirants : Get my app UPSC Important News Reader from Play store.
MBA Social Network : WebMaggu
Appreciate by Clicking +1 Kudos ( Lets be more generous friends.) What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".




Manager
Joined: 21 Aug 2010
Posts: 174
Location: United States

Re: A certain drink of type A is prepared by mixing 4 parts milk with 3 pa
[#permalink]
Show Tags
Updated on: 31 Oct 2011, 01:47
aselfmademan wrote: A certain drink of type A is prepared by mixing 4 parts milk with 3 parts fruit juice. Another drink of type B is prepared by mixing 4 parts of fruit juice and 3 parts of milk. How many liters of fruit juice must be added to 14 liters of drink A to convert it to drink B ?
a) 4 b) 2/3 c) 3.5 d) 3 e) None of these Drink A M(milk):F(fruit Juice) = 4:3 Drink B M:F = 3:4 14 lts of Drink A contains 14*4/7 lts of milk = 8 liters of milk 14 lts of Drink A contains 14*3/7 lts of fruit juice = 6 liters of milk We are going to add Fruit juice with Drink A so the amount of milk in the mixture will not change So Drink B = 3:4 ==> 3 portion of milk is 8 liters 1 portion of milk = 2 2/3 liters 4 portion of fruit juice = 4 * 2 2/3 ==> 10 2/3 liters 6 liters of fruit juice already there in the mixture so another 4 2/3 liters of fruit juice needs to be added to the drink A to convert it to Drink B
_________________

Originally posted by g106 on 31 Oct 2011, 01:26.
Last edited by g106 on 31 Oct 2011, 01:47, edited 1 time in total.



Manager
Joined: 21 Aug 2010
Posts: 174
Location: United States

Re: A certain drink of type A is prepared by mixing 4 parts milk with 3 pa
[#permalink]
Show Tags
Updated on: 31 Oct 2011, 01:49
gopu106 wrote: aselfmademan wrote: A certain drink of type A is prepared by mixing 4 parts milk with 3 parts fruit juice. Another drink of type B is prepared by mixing 4 parts of fruit juice and 3 parts of milk. How many liters of fruit juice must be added to 14 liters of drink A to convert it to drink B ?
a) 4 b) 2/3 c) 3.5 d) 3 e) None of these Drink A M(milk):F(fruit Juice) = 4:3 Drink B M:F = 3:4 14 lts of Drink A contains 14*4/7 lts of milk = 8 liters of milk 14 lts of Drink A contains 14*3/7 lts of fruit juice = 6 liters of milk We are going to add Fruit juice with Drink A so the amount of milk in the mixture will not change So Drink B = 3:4 ==> 3 portion of milk is 8 liters 1 portion of milk = 2 2/3 liters 4 portion of fruit juice = 4 * 2 2/3 ==> 10 2/3 liters 6 liters of fruit juice already there in the mixture so another 4 2/3 liters of fruit juice needs to be added to the drink A to convert it to Drink B The Answer is 4 2/3 liters. But i am not seeing that in options so E
_________________

Originally posted by g106 on 31 Oct 2011, 01:35.
Last edited by g106 on 31 Oct 2011, 01:49, edited 2 times in total.



Intern
Joined: 27 Sep 2011
Posts: 13

Re: A certain drink of type A is prepared by mixing 4 parts milk with 3 pa
[#permalink]
Show Tags
31 Oct 2011, 01:43
Thankzzzzzzz gopu106 for the quickest reply....
_________________
All I want to be A Selfmade Man



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8885
Location: Pune, India

Re: A certain drink of type A is prepared by mixing 4 parts milk with 3 pa
[#permalink]
Show Tags
31 Oct 2011, 02:33
aselfmademan wrote: A certain drink of type A is prepared by mixing 4 parts milk with 3 parts fruit juice. Another drink of type B is prepared by mixing 4 parts of fruit juice and 3 parts of milk. How many liters of fruit juice must be added to 14 liters of drink A to convert it to drink B ?
a) 4 b) 2/3 c) 3.5 d) 3 e) None of these Simply use the weighted average concept: w1/w2 = (A2  Aavg)/(Aavg  A1) Amount of fruit juice/Amount of type A drink = (4/7  3/7)/(3/7  0) = 1/3 Amount of fruit juice/14 = 1/3 Amount of fruit juice added = 4.67 lts For more on weighted averages, mixtures and details of this method, check out: http://www.veritasprep.com/blog/2011/03 ... averages/http://www.veritasprep.com/blog/2011/04 ... mixtures/
_________________
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 >



Intern
Joined: 04 Nov 2011
Posts: 1
Location: India
WE: Consulting (Mutual Funds and Brokerage)

Re: A certain drink of type A is prepared by mixing 4 parts milk with 3 pa
[#permalink]
Show Tags
11 Dec 2011, 02:35
firstly, In solution 1st ratio of milk and juice is 4:3 , so 14 litres of solution carries 8 litres of milk and 6 litres of of juice and secondly to make it 3:4 just see from answer choices what should be added to 6 litres of juice to make the ratio 3:4 so no value from answer satisfies it and clearly choice is E.
i think fastest way is to go by answer choice.....



Manager
Joined: 26 Apr 2011
Posts: 210

Re: A certain drink of type A is prepared by mixing 4 parts milk with 3 pa
[#permalink]
Show Tags
11 Dec 2011, 22:21
perfectly explained by gopu106



Manager
Joined: 01 Mar 2014
Posts: 112

Re: A certain drink of type A is prepared by mixing 4 parts milk with 3 pa
[#permalink]
Show Tags
04 Apr 2016, 20:26
VeritasPrepKarishma wrote: aselfmademan wrote: A certain drink of type A is prepared by mixing 4 parts milk with 3 parts fruit juice. Another drink of type B is prepared by mixing 4 parts of fruit juice and 3 parts of milk. How many liters of fruit juice must be added to 14 liters of drink A to convert it to drink B ?
a) 4 b) 2/3 c) 3.5 d) 3 e) None of these Simply use the weighted average concept: w1/w2 = (A2  Aavg)/(Aavg  A1) Amount of fruit juice/Amount of type A drink = (4/7  3/7)/(3/7  0) = 1/3 Amount of fruit juice/14 = 1/3 Amount of fruit juice added = 4.67 lts For more on weighted averages, mixtures and details of this method, check out: http://www.veritasprep.com/blog/2011/03 ... averages/http://www.veritasprep.com/blog/2011/04 ... mixtures/Karishma I approached this as follows : Drink A> Milk 4 parts; fruit juice> 3 parts => concentration of milk = 4*100/7 Drink B> Milk  3parts; fruit juice> 4 parts => concentration of milk = 3*100/7 (I am considering concentration of milk as that is the constant in both cases, concentration of fruit juice varies) I just applied this to the formula > initial conc*initial vol. = final conc*final vol => 4*100*14/7=3*100* final vol/7 therefore final vol = 56/3 Amount of fruit juice added = final volume  initial vol = 56/314 = 4.67 Is this correct? Thank you for your help.



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8885
Location: Pune, India

Re: A certain drink of type A is prepared by mixing 4 parts milk with 3 pa
[#permalink]
Show Tags
04 Apr 2016, 20:44
MeghaP wrote: VeritasPrepKarishma wrote: aselfmademan wrote: A certain drink of type A is prepared by mixing 4 parts milk with 3 parts fruit juice. Another drink of type B is prepared by mixing 4 parts of fruit juice and 3 parts of milk. How many liters of fruit juice must be added to 14 liters of drink A to convert it to drink B ?
a) 4 b) 2/3 c) 3.5 d) 3 e) None of these Simply use the weighted average concept: w1/w2 = (A2  Aavg)/(Aavg  A1) Amount of fruit juice/Amount of type A drink = (4/7  3/7)/(3/7  0) = 1/3 Amount of fruit juice/14 = 1/3 Amount of fruit juice added = 4.67 lts For more on weighted averages, mixtures and details of this method, check out: http://www.veritasprep.com/blog/2011/03 ... averages/http://www.veritasprep.com/blog/2011/04 ... mixtures/Karishma I approached this as follows : Drink A> Milk 4 parts; fruit juice> 3 parts => concentration of milk = 4*100/7 Drink B> Milk  3parts; fruit juice> 4 parts => concentration of milk = 3*100/7 (I am considering concentration of milk as that is the constant in both cases, concentration of fruit juice varies) I just applied this to the formula > initial conc*initial vol. = final conc*final vol => 4*100*14/7=3*100* final vol/7 therefore final vol = 56/3 Amount of fruit juice added = final volume  initial vol = 56/314 = 4.67 Is this correct? Thank you for your help. Yes, the method is correct. Just note that technically, this is not correct: (I am considering concentration of milk as that is the constant in both cases, concentration of fruit juice varies) It should be "the amount of milk in both cases is the same since you are adding only fruit juice" Amount = Concentration * Volume and that is why you get C1*V1 = C2*V2
_________________
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 >



Manager
Joined: 01 Mar 2014
Posts: 112

Re: A certain drink of type A is prepared by mixing 4 parts milk with 3 pa
[#permalink]
Show Tags
04 Apr 2016, 20:49
VeritasPrepKarishma wrote: MeghaP wrote: VeritasPrepKarishma wrote: A certain drink of type A is prepared by mixing 4 parts milk with 3 parts fruit juice. Another drink of type B is prepared by mixing 4 parts of fruit juice and 3 parts of milk. How many liters of fruit juice must be added to 14 liters of drink A to convert it to drink B ?
a) 4 b) 2/3 c) 3.5 d) 3 e) None of these Simply use the weighted average concept: w1/w2 = (A2  Aavg)/(Aavg  A1) Amount of fruit juice/Amount of type A drink = (4/7  3/7)/(3/7  0) = 1/3 Amount of fruit juice/14 = 1/3 Amount of fruit juice added = 4.67 lts For more on weighted averages, mixtures and details of this method, check out: http://www.veritasprep.com/blog/2011/03 ... averages/http://www.veritasprep.com/blog/2011/04 ... mixtures/Karishma I approached this as follows : Drink A> Milk 4 parts; fruit juice> 3 parts => concentration of milk = 4*100/7 Drink B> Milk  3parts; fruit juice> 4 parts => concentration of milk = 3*100/7 (I am considering concentration of milk as that is the constant in both cases, concentration of fruit juice varies) I just applied this to the formula > initial conc*initial vol. = final conc*final vol => 4*100*14/7=3*100* final vol/7 therefore final vol = 56/3 Amount of fruit juice added = final volume  initial vol = 56/314 = 4.67 Is this correct? Thank you for your help. Yes, the method is correct. Just note that technically, this is not correct: (I am considering concentration of milk as that is the constant in both cases, concentration of fruit juice varies) It should be "the amount of milk in both cases is the same since you are adding only fruit juice" Amount = Concentration * Volume and that is why you get C1*V1 = C2*V2[/quote] Yes yes of course, I meant amount. Thank for pointing out



VP
Joined: 07 Dec 2014
Posts: 1152

Re: A certain drink of type A is prepared by mixing 4 parts milk with 3 pa
[#permalink]
Show Tags
26 Jul 2016, 18:15
let x=liters of fruit juice added 14(3/7)+x=(4/7)(14+x) x=4 2/3 liters answer e



Intern
Joined: 23 Aug 2015
Posts: 24
Location: India
Concentration: General Management, Human Resources
GPA: 3
WE: Consulting (Human Resources)

Re: A certain drink of type A is prepared by mixing 4 parts milk with 3 pa
[#permalink]
Show Tags
20 Aug 2017, 20:49
VeritasPrepKarishma wrote: aselfmademan wrote: A certain drink of type A is prepared by mixing 4 parts milk with 3 parts fruit juice. Another drink of type B is prepared by mixing 4 parts of fruit juice and 3 parts of milk. How many liters of fruit juice must be added to 14 liters of drink A to convert it to drink B ?
a) 4 b) 2/3 c) 3.5 d) 3 e) None of these Simply use the weighted average concept: w1/w2 = (A2  Aavg)/(Aavg  A1) Amount of fruit juice/Amount of type A drink = (4/7  3/7)/(3/7  0) = 1/3 Amount of fruit juice/14 = 1/3 Amount of fruit juice added = 4.67 lts For more on weighted averages, mixtures and details of this method, check out: http://www.veritasprep.com/blog/2011/03 ... averages/http://www.veritasprep.com/blog/2011/04 ... mixtures/Can you please tell how to choose values for A2 , A1 and Aavg. I understand A2 is the final product so it is 4/7. Since A1 is the original, why are we taking 3/7 as Aavg instead of A1 ?



NonHuman User
Joined: 09 Sep 2013
Posts: 9861

Re: A certain drink of type A is prepared by mixing 4 parts milk with 3 pa
[#permalink]
Show Tags
14 Oct 2018, 03:50
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.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: A certain drink of type A is prepared by mixing 4 parts milk with 3 pa
[#permalink]
14 Oct 2018, 03:50






