In a mixture 25 liters, the ratio of milk and water is 4:1. How many liters of milk must be added to make the ratio 16:1?Options :60708050
Question
In a mixture 25 liters, the ratio of milk and water is 4:1. How many liters of milk must be added to make the ratio 16:1?Options :60708050
Solution
The initial ratio of milk to water in the mixture is 4:1. This means that out of every 5 parts of the mixture, 4 parts are milk and 1 part is water.
Given that the total volume of the mixture is 25 liters, we can calculate the volume of milk and water in the mixture as follows:
Milk = (4/5) * 25 = 20 liters Water = 25 - 20 = 5 liters
We want to add some amount of milk to the mixture to make the ratio of milk to water 16:1. This means that for every 17 parts of the new mixture, 16 parts are milk and 1 part is water.
The volume of water in the mixture remains the same (5 liters), so this is equivalent to 1 part in the new ratio. Therefore, 1 part is equivalent to 5 liters.
So, 16 parts (the amount of milk in the new ratio) is equivalent to 16 * 5 = 80 liters.
Therefore, we need to add 80 - 20 = 60 liters of milk to the mixture to achieve the desired ratio. So, the correct answer is 60.
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