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A large container has a 50 litre mixture of juice and water in the ratio 3 : 2. To this, a 60 litre juice and water mixture is added,
that has a juice to water ratio of 2 : 1. After this, 11 litres of the solution is replaced with pure juice. What is the ratio of water to
juice in the final mixture?
37:18
29:81
4:7
18:37
- Start with a 50-litre mixture with a juice to water ratio of 3:2. This means 30 litres of juice and 20 litres of water.
- Add 60 litres of another mixture with a juice to water ratio of 2:1, resulting in 40 litres of juice and 20 litres of water.
- Total juice becomes 30 + 40 = 70 litres, and total water becomes 20 + 20 = 40 litres in 110 litres of mixture.
- Replace 11 litres of this mixture with pure juice. This means removing 7 litres of juice and 4 litres of water, and adding 11 litres of juice.
- Final amount: Juice = 70 - 7 + 11 = 74 litres; Water = 40 - 4 = 36 litres.
- Calculate the final ratio of water to juice: 36:74, which simplifies to 18:37.
- Check against options:
- Option 4) 18:37 matches the calculation.
By: santosh ProfileResourcesReport error
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