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A container has milk and water in the ratio $5:3$. If 10 litres of water are added, the ratio becomes $5:4$. Find the initial total volume of the mixture.
- 70 litres
- 80 litres
- 90 litres
- 100 litres
Correct answer: 80 litres
Solution
Let milk = 5x and water = 3x. After adding 10 litres of water, water becomes 3x + 10 and the ratio becomes 5:4, so 5x/(3x+10)=5/4. Solving gives x=10, hence the initial total volume is 8x=80 litres.
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