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A mixture of 40 litres of milk and water contains 10% water. How much water should be added to this mixture so that the new mixture contains 20% water?
- a)4 litres
- b)5 litres
- c)6.5 litres
- d)7.5 litres
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A mixture of 40 litres of milk and water contains 10% water. How much ...
Milk contains in mixture = 36 liters.
Water contains in mixture = 4 liters Let ‘x’ be the water added to the mixture.
Water contains in mixture = 4 liters Let ‘x’ be the water added to the mixture.
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A mixture of 40 litres of milk and water contains 10% water. How much ...
Problem:
A mixture of 40 litres of milk and water contains 10% water. How much water should be added to this mixture so that the new mixture contains 20% water?
Solution:
Let's assume the amount of water to be added to the mixture is 'x' liters.
Step 1:
Initial Composition:
- The mixture contains 40 liters of milk and water in total.
- The percentage of water in the mixture is 10%.
Step 2:
Calculating the Initial Amount of Water:
- The initial amount of water in the mixture can be calculated as 10% of 40 liters.
- 10% of 40 = (10/100) * 40 = 4 liters.
Step 3:
Calculating the Final Composition:
- After adding 'x' liters of water to the mixture, the total volume will be 40 + x liters.
- The percentage of water in the new mixture is 20%.
Step 4:
Calculating the Final Amount of Water:
- The final amount of water in the new mixture can be calculated as 20% of the total volume (40 + x) liters.
- 20% of (40 + x) = (20/100) * (40 + x) = 8 + 0.2x liters.
Step 5:
Setting up the Equation:
- According to the problem, the final amount of water should be equal to the initial amount of water plus the amount of water added.
- 8 + 0.2x = 4 + x.
Step 6:
Solving the Equation:
- Subtracting x from both sides of the equation:
8 + 0.2x - x = 4.
8 - 0.8x = 4.
- Simplifying the equation:
-0.8x = 4 - 8.
-0.8x = -4.
x = -4 / -0.8.
x = 5 liters.
Therefore, 5 liters of water should be added to the mixture so that the new mixture contains 20% water.
A mixture of 40 litres of milk and water contains 10% water. How much water should be added to this mixture so that the new mixture contains 20% water?
Solution:
Let's assume the amount of water to be added to the mixture is 'x' liters.
Step 1:
Initial Composition:
- The mixture contains 40 liters of milk and water in total.
- The percentage of water in the mixture is 10%.
Step 2:
Calculating the Initial Amount of Water:
- The initial amount of water in the mixture can be calculated as 10% of 40 liters.
- 10% of 40 = (10/100) * 40 = 4 liters.
Step 3:
Calculating the Final Composition:
- After adding 'x' liters of water to the mixture, the total volume will be 40 + x liters.
- The percentage of water in the new mixture is 20%.
Step 4:
Calculating the Final Amount of Water:
- The final amount of water in the new mixture can be calculated as 20% of the total volume (40 + x) liters.
- 20% of (40 + x) = (20/100) * (40 + x) = 8 + 0.2x liters.
Step 5:
Setting up the Equation:
- According to the problem, the final amount of water should be equal to the initial amount of water plus the amount of water added.
- 8 + 0.2x = 4 + x.
Step 6:
Solving the Equation:
- Subtracting x from both sides of the equation:
8 + 0.2x - x = 4.
8 - 0.8x = 4.
- Simplifying the equation:
-0.8x = 4 - 8.
-0.8x = -4.
x = -4 / -0.8.
x = 5 liters.
Therefore, 5 liters of water should be added to the mixture so that the new mixture contains 20% water.
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A mixture of 40 litres of milk and water contains 10% water. How much water should be added to this mixture so that the new mixture contains 20% water?a)4 litresb)5 litresc)6.5 litresd)7.5 litresCorrect answer is option 'B'. Can you explain this answer?
Question Description
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A mixture of 40 litres of milk and water contains 10% water. How much water should be added to this mixture so that the new mixture contains 20% water?a)4 litresb)5 litresc)6.5 litresd)7.5 litresCorrect answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A mixture of 40 litres of milk and water contains 10% water. How much water should be added to this mixture so that the new mixture contains 20% water?a)4 litresb)5 litresc)6.5 litresd)7.5 litresCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mixture of 40 litres of milk and water contains 10% water. How much water should be added to this mixture so that the new mixture contains 20% water?a)4 litresb)5 litresc)6.5 litresd)7.5 litresCorrect answer is option 'B'. Can you explain this answer?.
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