In the 75 litres of mixture of milk and water, the ratio of milk and water is 4:1. The quantity of water required to make the ratio of milk and water 3:1 is Options :5 ltrs4 ltrs3 ltrs2 ltrs
Question
In the 75 litres of mixture of milk and water, the ratio of milk and water is 4:1. The quantity of water required to make the ratio of milk and water 3:1 is Options :5 ltrs4 ltrs3 ltrs2 ltrs
Solution
In the initial mixture, the ratio of milk to water is 4:1. This means that out of 5 parts, 4 parts are milk and 1 part is water.
Given that the total volume of the mixture is 75 litres, each part is equal to 75/5 = 15 litres.
So, the quantity of milk in the mixture is 4 parts * 15 litres/part = 60 litres, and the quantity of water is 1 part * 15 litres/part = 15 litres.
Now, we want to make the ratio of milk to water 3:1. This means that for every 3 parts of milk, we need 1 part of water.
Given that the quantity of milk remains constant at 60 litres, each part (for the milk) is now equal to 60/3 = 20 litres.
To achieve a water to milk ratio of 1:3, we need the quantity of water to be 1 part * 20 litres/part = 20 litres.
Therefore, the additional quantity of water required is 20 litres - 15 litres = 5 litres.
So, the answer is 5 litres.
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