NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 18:33 It is currently 25 Apr 2024, 18:33
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

A certain drink of type A is prepared by mixing 4 parts milk with 3 pa

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
aselfmademan
Intern
Intern
Joined: 27 Sep 2011
Posts: 11
Own Kudos [?]: 114 [16]
Given Kudos: 9
Send PM
A certain drink of type A is prepared by mixing 4 parts milk with 3 pa [#permalink] New post   31 Oct 2011, 02:15
16
Bookmarks
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

79% (02:41) correct 21% (02:45) wrong based on 213 sessions
Hide Show 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
ShowHide Answer
Official Answer
E
Most Helpful Reply
User avatar
D
shashankism
Director
Director
Joined: 13 Mar 2017
Affiliations: IIT Dhanbad
Posts: 628
Own Kudos [?]: 589 [7]
Given Kudos: 88
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE:Engineering (Energy and Utilities)
Send PM
Re: A certain drink of type A is prepared by mixing 4 parts milk with 3 pa [#permalink] New post   20 Aug 2017, 22:08
5
Kudos
2
Bookmarks
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
General Discussion
User avatar
g106
Manager
Manager
Joined: 21 Aug 2010
Posts: 130
Own Kudos [?]: 317 [2]
Given Kudos: 141
Location: United States
GMAT 1: 700 Q49 V35
Send PM
GMAT ToolKit User
Re: A certain drink of type A is prepared by mixing 4 parts milk with 3 pa [#permalink] New post   Updated on: 31 Oct 2011, 02:47
2
Kudos
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, 02:26.
Last edited by g106 on 31 Oct 2011, 02:47, edited 1 time in total.
User avatar
g106
Manager
Manager
Joined: 21 Aug 2010
Posts: 130
Own Kudos [?]: 317 [0]
Given Kudos: 141
Location: United States
GMAT 1: 700 Q49 V35
Send PM
GMAT ToolKit User
Re: A certain drink of type A is prepared by mixing 4 parts milk with 3 pa [#permalink] New post   Updated on: 31 Oct 2011, 02:49
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, 02:35.
Last edited by g106 on 31 Oct 2011, 02:49, edited 2 times in total.
User avatar
aselfmademan
Intern
Intern
Joined: 27 Sep 2011
Posts: 11
Own Kudos [?]: 114 [0]
Given Kudos: 9
Send PM
Re: A certain drink of type A is prepared by mixing 4 parts milk with 3 pa [#permalink] New post   31 Oct 2011, 02:43
:clap: Thankzzzzzzz gopu106 for the quickest reply.... :-D
User avatar
L
KarishmaB
Tutor
Joined: 16 Oct 2010
Posts: 14823
Own Kudos [?]: 64923 [3]
Given Kudos: 426
Location: Pune, India
Send PM
A certain drink of type A is prepared by mixing 4 parts milk with 3 pa [#permalink] New post   Updated on: 11 Oct 2022, 00:49
1
Kudos
2
Bookmarks
Expert Reply
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

Originally posted by KarishmaB on 31 Oct 2011, 03:33.
Last edited by KarishmaB on 11 Oct 2022, 00:49, edited 1 time in total.
avatar
SunilGupta78
Intern
Intern
Joined: 04 Nov 2011
Posts: 1
Own Kudos [?]: 6 [0]
Given Kudos: 0
Location: India
WE:Consulting (Mutual Funds and Brokerage)
Send PM
Re: A certain drink of type A is prepared by mixing 4 parts milk with 3 pa [#permalink] New post   11 Dec 2011, 03:35
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.....
avatar
sandeeepsharma
Manager
Manager
Joined: 26 Apr 2011
Posts: 191
Own Kudos [?]: 43 [0]
Given Kudos: 14
Send PM
GMAT ToolKit User Reviews Badge
Re: A certain drink of type A is prepared by mixing 4 parts milk with 3 pa [#permalink] New post   11 Dec 2011, 23:21
perfectly explained by gopu106
avatar
bethebest
Manager
Manager
Joined: 01 Mar 2014
Posts: 97
Own Kudos [?]: 32 [0]
Given Kudos: 616
Schools: Tepper '18
Send PM
Re: A certain drink of type A is prepared by mixing 4 parts milk with 3 pa [#permalink] New post   04 Apr 2016, 21:26
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:
https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2011/03 ... -averages/
https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/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 = 56/3-14 = 4.67

Is this correct?
Thank you for your help.
User avatar
L
KarishmaB
Tutor
Joined: 16 Oct 2010
Posts: 14823
Own Kudos [?]: 64923 [1]
Given Kudos: 426
Location: Pune, India
Send PM
Re: A certain drink of type A is prepared by mixing 4 parts milk with 3 pa [#permalink] New post   04 Apr 2016, 21:44
1
Bookmarks
Expert Reply
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:
https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2011/03 ... -averages/
https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/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 = 56/3-14 = 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
avatar
bethebest
Manager
Manager
Joined: 01 Mar 2014
Posts: 97
Own Kudos [?]: 32 [0]
Given Kudos: 616
Schools: Tepper '18
Send PM
Re: A certain drink of type A is prepared by mixing 4 parts milk with 3 pa [#permalink] New post   04 Apr 2016, 21:49
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:
https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2011/03 ... -averages/
https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/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 = 56/3-14 = 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 :)
User avatar
P
gracie
VP
VP
Joined: 07 Dec 2014
Posts: 1072
Own Kudos [?]: 1561 [0]
Given Kudos: 27
Send PM
Re: A certain drink of type A is prepared by mixing 4 parts milk with 3 pa [#permalink] New post   26 Jul 2016, 19:15
let x=liters of fruit juice added
14(3/7)+x=(4/7)(14+x)
x=4 2/3 liters
answer e
avatar
B
Bang2919
Intern
Intern
Joined: 23 Aug 2015
Posts: 22
Own Kudos [?]: 6 [0]
Given Kudos: 459
Location: India
Concentration: General Management, Human Resources
Schools: DeGroote"20 Sauder '20 Alberta"20 Desautels '20 Ryerson"20
GMAT 1: 610 Q46 V29
GPA: 3
WE:Consulting (Human Resources)
Send PM
Re: A certain drink of type A is prepared by mixing 4 parts milk with 3 pa [#permalink] New post   20 Aug 2017, 21:49
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:
https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2011/03 ... -averages/
https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/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 ?
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32680
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: A certain drink of type A is prepared by mixing 4 parts milk with 3 pa [#permalink] New post   13 Jan 2022, 04:14
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 Club Bot
gmatclubot
Re: A certain drink of type A is prepared by mixing 4 parts milk with 3 pa [#permalink]
13 Jan 2022, 04:14
Moderators:
Bunuel
Math Expert
92915 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions