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)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?
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)A barrel contains a mixture of wine and water in the ratio 3:1. How m...
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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.
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)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?
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)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?.
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