A mixture of 45 liters of milk and water contains 20% water. How many liters of water should be added to make it a 25% water solution? Options 5 3 2 4
Question
A mixture of 45 liters of milk and water contains 20% water. How many liters of water should be added to make it a 25% water solution?
Options
- 5
- 3
- 2
- 4
Solution
Let's solve the problem step by step.
-
Determine the amount of water in the initial mixture:
- The mixture is 45 liters and contains 20% water.
- Amount of water = 20% of 45 liters = 0.20 * 45 = 9 liters.
-
Determine the amount of milk in the initial mixture:
- Since the total mixture is 45 liters and it contains 9 liters of water, the amount of milk is:
- Amount of milk = 45 liters - 9 liters = 36 liters.
-
Let be the amount of water to be added:
- After adding liters of water, the total amount of water will be liters.
- The total volume of the mixture will be liters.
-
Set up the equation for the new concentration of water:
- We want the new mixture to be 25% water.
- Therefore, .
-
Solve the equation:
So, the amount of water that should be added to make the solution 25% water is 3 liters.
Answer: 3
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