SSC CGL Exam > SSC CGL Questions > )A barrel contains a mixture of wine and wate...
Start Learning for Free
)A barrel contains a mixture of wine and water in the ratio 3:1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes 1:1?
Most Upvoted Answer
)A barrel contains a mixture of wine and water in the ratio 3:1. How m...
Solution:
Given: A barrel contains a mixture of wine and water in the ratio 3:1.
To find: How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes 1:1.
Let's assume that the barrel initially contains 4 liters of mixture (3 liters of wine and 1 liter of water).
Let x be the fraction of the mixture that must be drawn off and substituted by water.
Step 1: Drawing off the fraction of the mixture.
The fraction of the mixture that must be drawn off is x/4.
After drawing off x/4 fraction of the mixture, the barrel contains (4 - x/4) liters of the mixture.
Step 2: Substituting the drawn-off fraction with water.
The fraction of water that must be added is also x/4.
After substituting the drawn-off fraction with water, the barrel contains (1/4 * x + 1) liters of water.
Step 3: Calculating the ratio of wine and water in the resultant mixture.
The quantity of wine in the new mixture is the same as it was initially, i.e., 3 liters.
The quantity of water in the new mixture is (1/4 * x + 1) liters.
The ratio of wine and water in the new mixture is:
3/(1/4 * x + 1) = 1/1
Solving this equation, we get:
x = 3/4
Therefore, 3/4 fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes 1:1.
Given: A barrel contains a mixture of wine and water in the ratio 3:1.
To find: How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes 1:1.
Let's assume that the barrel initially contains 4 liters of mixture (3 liters of wine and 1 liter of water).
Let x be the fraction of the mixture that must be drawn off and substituted by water.
Step 1: Drawing off the fraction of the mixture.
The fraction of the mixture that must be drawn off is x/4.
After drawing off x/4 fraction of the mixture, the barrel contains (4 - x/4) liters of the mixture.
Step 2: Substituting the drawn-off fraction with water.
The fraction of water that must be added is also x/4.
After substituting the drawn-off fraction with water, the barrel contains (1/4 * x + 1) liters of water.
Step 3: Calculating the ratio of wine and water in the resultant mixture.
The quantity of wine in the new mixture is the same as it was initially, i.e., 3 liters.
The quantity of water in the new mixture is (1/4 * x + 1) liters.
The ratio of wine and water in the new mixture is:
3/(1/4 * x + 1) = 1/1
Solving this equation, we get:
x = 3/4
Therefore, 3/4 fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes 1:1.
Attention SSC CGL Students!
To make sure you are not studying endlessly, EduRev has designed SSC CGL study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in SSC CGL.
|
Explore Courses for SSC CGL exam
|
|
Similar SSC CGL Doubts
Top Courses for SSC CGLView all
)A barrel contains a mixture of wine and water in the ratio 3:1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes 1:1?
Question Description
)A barrel contains a mixture of wine and water in the ratio 3:1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes 1:1? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about )A barrel contains a mixture of wine and water in the ratio 3:1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes 1:1? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for )A barrel contains a mixture of wine and water in the ratio 3:1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes 1:1?.
)A barrel contains a mixture of wine and water in the ratio 3:1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes 1:1? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about )A barrel contains a mixture of wine and water in the ratio 3:1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes 1:1? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for )A barrel contains a mixture of wine and water in the ratio 3:1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes 1:1?.
Solutions for )A barrel contains a mixture of wine and water in the ratio 3:1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes 1:1? in English & in Hindi are available as part of our courses for SSC CGL.
Download more important topics, notes, lectures and mock test series for SSC CGL Exam by signing up for free.
Here you can find the meaning of )A barrel contains a mixture of wine and water in the ratio 3:1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes 1:1? defined & explained in the simplest way possible. Besides giving the explanation of
)A barrel contains a mixture of wine and water in the ratio 3:1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes 1:1?, a detailed solution for )A barrel contains a mixture of wine and water in the ratio 3:1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes 1:1? has been provided alongside types of )A barrel contains a mixture of wine and water in the ratio 3:1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes 1:1? theory, EduRev gives you an
ample number of questions to practice )A barrel contains a mixture of wine and water in the ratio 3:1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes 1:1? tests, examples and also practice SSC CGL tests.
|
|
Explore Courses for SSC CGL 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup