n a mixture of 45 litres, the ratio of milk and water is 3 : 2. How much water must be added to make the ratio 9 : 11?Options :10 liters15 liters17 liters20 liter
Question
n a mixture of 45 litres, the ratio of milk and water is 3 : 2. How much water must be added to make the ratio 9 : 11?Options :10 liters15 liters17 liters20 liter
Solution
In the initial mixture, the ratio of milk to water is 3:2. This means that out of 5 parts of the mixture, 3 parts are milk and 2 parts are water.
The total volume of the mixture is 45 litres. So, each part is equal to 45/5 = 9 litres.
Therefore, the volume of water in the mixture is 2 parts * 9 litres/part = 18 litres.
We want to add water to make the ratio of milk to water 9:11. This means that for every 9 parts of milk, we need 11 parts of water.
The volume of milk in the mixture remains unchanged, so it is still 3 parts * 9 litres/part = 27 litres.
Since each part is equal to 9 litres, we need 11 parts * 9 litres/part = 99 litres of water to achieve the desired ratio.
Therefore, we need to add 99 litres - 18 litres = 81 litres of water to the mixture.
However, the options provided do not include 81 litres. There might be a mistake in the problem or the options provided.
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