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) 4.67
I could not solve it using Allegation method .. Please let me know the steps if I am solving it using Allegation rule .
thanks !
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
Mixture/ratio problem 4
This topic has expert replies
GMAT/MBA Expert
-
Anurag@Gurome
- GMAT Instructor
- Posts: 3835
- Joined: Fri Apr 02, 2010 10:00 pm
- Location: Milpitas, CA
- Thanked: 1854 times
- Followed by:523 members
- GMAT Score:770
In 14 liters of drink A, amount of milk = (4/7)*14 = 8 literguerrero 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 ?
Let us assume that, we need to add x liters of fruit juice.
Hence, total amount of drink = (14 + x)
As we haven't add any milk, amount of milk is 8 liter
So, 8/(14 + x) = 3/7
--> 3(14 + x) = 56
--> 3x = 56 - 42
--> x = 14/3 ≈ 4.67
The correct answer is E.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
-
GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
Here's how to solve with ALLIGATION.guerrero 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) 4.67
Let J = the pure fruit juice to be added to A.
Milk/total in A = 4/7.
Milk/total in J = 0.
Milk/total in B = 3/7.
Step 1: Plot the 3 fractions on a number line, with the fractions attributed to A and J (4/7 and 0) on the ends and the goal fraction (3/7) in the middle.
A(4/7)----------3/7-----------J(0)
Step 2: Calculate the distances between the fractions.
A(4/7)---1/7----3/7----3/7----J(0)
Step 3: Determine the ratio in the mixture.
The required ratio of A to J is the RECIPROCAL of the distances in red.
A : J = 3/7 : 1/7 = 3:1.
Since the actual amount of A is 14 liters, both parts of the ratio above must be multiplied by 14/3:
A : J = (14/3 * 3) : (14/3 * 1) = 14 : 14/3.
Thus, J = 14/3.
The correct answer is E.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
