A solution contains water, milk and liquid chocolate in the ratio of 2:3:5 by volume. If y liters of water and milk each are added to this solution, the resultant solution would contain 25 percent of water by volume. If the volume of this resultant solution is 120 liters, what is the value of y in liters?
A. 8
B. 10
C. 11
D. 12
E. 15
The OA is B
Source: e-GMAT
Mixture Problems, Word Problems
This topic has expert replies
GMAT/MBA Expert
- Jay@ManhattanReview
- GMAT Instructor
- Posts: 3008
- Joined: Mon Aug 22, 2016 6:19 am
- Location: Grand Central / New York
- Thanked: 470 times
- Followed by:34 members
Say initially, the solution had 2x, 3x, and 5x liters of water, milk and liquid chocolate, respectively.swerve wrote: ↑Mon Jun 29, 2020 12:31 pmA solution contains water, milk and liquid chocolate in the ratio of 2:3:5 by volume. If y liters of water and milk each are added to this solution, the resultant solution would contain 25 percent of water by volume. If the volume of this resultant solution is 120 liters, what is the value of y in liters?
A. 8
B. 10
C. 11
D. 12
E. 15
The OA is B
Source: e-GMAT
After the addition of y liters of water and milk each, the solution now has (2x + y), (3x + y), and 5x liters of water, milk and liquid chocolate, respectively. And the total content of the solution is (2x + y) + (3x + y) + 5x = (10x + 2y) liters
=> 10x + 2y = 120 => 5x + y = 60 ---(1)
Water in the new solution = 25% of 120 = 30 ltrs
=> 2x + y = 30 ---(2)
Solving (1) and (2), we get x = y = 10.
Correct answer: B
Hope this helps!
-Jay
_________________
Manhattan Review GMAT Prep
Locations: Manhattan GRE | LSAT Practice Questions | SAT Practice Test | GMAT Info | and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
GMAT/MBA Expert
- Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7263
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
Solution:swerve wrote: ↑Mon Jun 29, 2020 12:31 pmA solution contains water, milk and liquid chocolate in the ratio of 2:3:5 by volume. If y liters of water and milk each are added to this solution, the resultant solution would contain 25 percent of water by volume. If the volume of this resultant solution is 120 liters, what is the value of y in liters?
A. 8
B. 10
C. 11
D. 12
E. 15
The OA is B
We can let the amount of water, milk, and liquid chocolate in the original solution be 2x, 3x, and 5x (where x is a positive number). We can create the equations:
2x + 3x + 5x + y + y = 120
and
(2x + y)/(2x + 3x + 5x + y + y) = 1/4
Simplifying the first equation, we have:
10x + 2y = 120
5x + y = 60
y = 60 - 5x
Substituting this in the second equation (and noticing that the denominator is just 120), we have:
(2x + 60 - 5x)/120 = 1/4
60 - 3x = 30
30 = 3x
10 = x
Since y = 60 - 5x, y = 60 - 5(10) = 10.
Answer: B
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews