A vessel contains 630 ml of mixture of milk and water in the ratio 7 : 2. How much water must be added to make the ratio 7 : 3?Options70 ml80 ml50 ml60 ml
Question
A vessel contains 630 ml of mixture of milk and water in the ratio 7 : 2. How much water must be added to make the ratio 7 : 3?Options70 ml80 ml50 ml60 ml
Solution
To solve this problem, we first need to determine the initial quantities of milk and water in the mixture.
- The total ratio of milk to water is 7:2, which adds up to 9 parts.
- Each part of the mixture is therefore 630 ml / 9 = 70 ml.
- The quantity of milk is 7 parts * 70 ml/part = 490 ml.
- The quantity of water is 2 parts * 70 ml/part = 140 ml.
Next, we need to find out how much water must be added to make the ratio 7:3.
- If the quantity of milk remains constant at 490 ml, and the ratio of milk to water is 7:3, then the total ratio is 10 parts.
- Each part of the new mixture is therefore 490 ml / 7 = 70 ml.
- The quantity of water in the new mixture should be 3 parts * 70 ml/part = 210 ml.
- Therefore, the amount of water that must be added is 210 ml - 140 ml = 70 ml.
So, the correct answer is 70 ml.
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