GMAT Exam > GMAT Questions > Solution X, which is 50% alcohol, is combined...
Start Learning for Free
Solution X, which is 50% alcohol, is combined with solution Y, which is 30% alcohol, to form 16 liters of a new solution that is 35% alcohol. How much of solution Y is used?
- a)4 liters
- b)6 liters
- c)8 liters
- d)10 liters
- e)12 liters
Correct answer is option 'E'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Solution X, which is 50% alcohol, is combined with solution Y, which i...
Let's assume the amount of solution X used is x liters. Since the total volume of the new solution is 16 liters, the amount of solution Y used would be (16 - x) liters.
To find the amount of alcohol in the final solution, we need to calculate the total amount of alcohol from each solution.
Amount of alcohol in solution X = 50% of x liters = 0.5x liters
Amount of alcohol in solution Y = 30% of (16 - x) liters = 0.3(16 - x) liters
Amount of alcohol in solution Y = 30% of (16 - x) liters = 0.3(16 - x) liters
Since we are creating a 35% alcohol solution, the total amount of alcohol in the final solution should be 35% of 16 liters = 0.35 * 16 liters = 5.6 liters.
Setting up the equation for the total amount of alcohol in the final solution:
0.5x + 0.3(16 - x) = 5.6
0.5x + 4.8 - 0.3x = 5.6
0.2x = 0.8
x = 0.8 / 0.2
x = 4
Therefore, the amount of solution X used is 4 liters, and the amount of solution Y used is (16 - 4) = 12 liters.
The correct answer is E: 12 liters.
Free Test
FREE
| Start Free Test |
Community Answer
Solution X, which is 50% alcohol, is combined with solution Y, which i...
To solve this problem, we can use the concept of weighted averages. Let's break down the problem step by step:
Given:
- Solution X is 50% alcohol
- Solution Y is 30% alcohol
- The new solution formed by combining X and Y is 35% alcohol
- The total volume of the new solution is 16 liters
Let's assume that solution X is mixed with a volume of 'x' liters, and solution Y is mixed with a volume of 'y' liters to form the new solution.
1. Determine the equation based on the alcohol content:
The equation representing the alcohol content in the new solution can be written as:
(0.5 * x + 0.3 * y) / (x + y) = 0.35
2. Determine the equation based on the total volume:
The equation representing the total volume of the new solution can be written as:
x + y = 16
We now have a system of two equations with two variables. We can solve this system to find the values of 'x' and 'y'.
3. Solve the system of equations:
Using the second equation, we can solve for 'x' in terms of 'y':
x = 16 - y
Substituting this value of 'x' into the first equation, we have:
(0.5 * (16 - y) + 0.3 * y) / (16 - y + y) = 0.35
Simplifying the equation:
(8 - 0.5y + 0.3y) / 16 = 0.35
(8 - 0.2y) / 16 = 0.35
Cross-multiplying:
8 - 0.2y = 0.35 * 16
8 - 0.2y = 5.6
-0.2y = 5.6 - 8
-0.2y = -2.4
y = -2.4 / -0.2
y = 12
4. Determine the amount of solution Y used:
From the solution above, we found that 'y' is equal to 12 liters. Therefore, 12 liters of solution Y is used to form the new solution.
Answer:
The correct answer is option 'E' - 12 liters.
Given:
- Solution X is 50% alcohol
- Solution Y is 30% alcohol
- The new solution formed by combining X and Y is 35% alcohol
- The total volume of the new solution is 16 liters
Let's assume that solution X is mixed with a volume of 'x' liters, and solution Y is mixed with a volume of 'y' liters to form the new solution.
1. Determine the equation based on the alcohol content:
The equation representing the alcohol content in the new solution can be written as:
(0.5 * x + 0.3 * y) / (x + y) = 0.35
2. Determine the equation based on the total volume:
The equation representing the total volume of the new solution can be written as:
x + y = 16
We now have a system of two equations with two variables. We can solve this system to find the values of 'x' and 'y'.
3. Solve the system of equations:
Using the second equation, we can solve for 'x' in terms of 'y':
x = 16 - y
Substituting this value of 'x' into the first equation, we have:
(0.5 * (16 - y) + 0.3 * y) / (16 - y + y) = 0.35
Simplifying the equation:
(8 - 0.5y + 0.3y) / 16 = 0.35
(8 - 0.2y) / 16 = 0.35
Cross-multiplying:
8 - 0.2y = 0.35 * 16
8 - 0.2y = 5.6
-0.2y = 5.6 - 8
-0.2y = -2.4
y = -2.4 / -0.2
y = 12
4. Determine the amount of solution Y used:
From the solution above, we found that 'y' is equal to 12 liters. Therefore, 12 liters of solution Y is used to form the new solution.
Answer:
The correct answer is option 'E' - 12 liters.
Attention GMAT Students!
To make sure you are not studying endlessly, EduRev has designed GMAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in GMAT.
|
Explore Courses for GMAT exam
|
|
Similar GMAT Doubts
Top Courses for GMATView all
Solution X, which is 50% alcohol, is combined with solution Y, which is 30% alcohol, to form 16 liters of a new solution that is 35% alcohol. How much of solution Y is used?a)4 litersb)6 litersc)8 litersd)10 literse)12 litersCorrect answer is option 'E'. Can you explain this answer?
Question Description
Solution X, which is 50% alcohol, is combined with solution Y, which is 30% alcohol, to form 16 liters of a new solution that is 35% alcohol. How much of solution Y is used?a)4 litersb)6 litersc)8 litersd)10 literse)12 litersCorrect answer is option 'E'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Solution X, which is 50% alcohol, is combined with solution Y, which is 30% alcohol, to form 16 liters of a new solution that is 35% alcohol. How much of solution Y is used?a)4 litersb)6 litersc)8 litersd)10 literse)12 litersCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solution X, which is 50% alcohol, is combined with solution Y, which is 30% alcohol, to form 16 liters of a new solution that is 35% alcohol. How much of solution Y is used?a)4 litersb)6 litersc)8 litersd)10 literse)12 litersCorrect answer is option 'E'. Can you explain this answer?.
Solution X, which is 50% alcohol, is combined with solution Y, which is 30% alcohol, to form 16 liters of a new solution that is 35% alcohol. How much of solution Y is used?a)4 litersb)6 litersc)8 litersd)10 literse)12 litersCorrect answer is option 'E'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Solution X, which is 50% alcohol, is combined with solution Y, which is 30% alcohol, to form 16 liters of a new solution that is 35% alcohol. How much of solution Y is used?a)4 litersb)6 litersc)8 litersd)10 literse)12 litersCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solution X, which is 50% alcohol, is combined with solution Y, which is 30% alcohol, to form 16 liters of a new solution that is 35% alcohol. How much of solution Y is used?a)4 litersb)6 litersc)8 litersd)10 literse)12 litersCorrect answer is option 'E'. Can you explain this answer?.
Solutions for Solution X, which is 50% alcohol, is combined with solution Y, which is 30% alcohol, to form 16 liters of a new solution that is 35% alcohol. How much of solution Y is used?a)4 litersb)6 litersc)8 litersd)10 literse)12 litersCorrect answer is option 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of Solution X, which is 50% alcohol, is combined with solution Y, which is 30% alcohol, to form 16 liters of a new solution that is 35% alcohol. How much of solution Y is used?a)4 litersb)6 litersc)8 litersd)10 literse)12 litersCorrect answer is option 'E'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Solution X, which is 50% alcohol, is combined with solution Y, which is 30% alcohol, to form 16 liters of a new solution that is 35% alcohol. How much of solution Y is used?a)4 litersb)6 litersc)8 litersd)10 literse)12 litersCorrect answer is option 'E'. Can you explain this answer?, a detailed solution for Solution X, which is 50% alcohol, is combined with solution Y, which is 30% alcohol, to form 16 liters of a new solution that is 35% alcohol. How much of solution Y is used?a)4 litersb)6 litersc)8 litersd)10 literse)12 litersCorrect answer is option 'E'. Can you explain this answer? has been provided alongside types of Solution X, which is 50% alcohol, is combined with solution Y, which is 30% alcohol, to form 16 liters of a new solution that is 35% alcohol. How much of solution Y is used?a)4 litersb)6 litersc)8 litersd)10 literse)12 litersCorrect answer is option 'E'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Solution X, which is 50% alcohol, is combined with solution Y, which is 30% alcohol, to form 16 liters of a new solution that is 35% alcohol. How much of solution Y is used?a)4 litersb)6 litersc)8 litersd)10 literse)12 litersCorrect answer is option 'E'. Can you explain this answer? tests, examples and also practice GMAT tests.
|
|
Explore Courses for GMAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup