A vessel contains milk and water in the ratio of 4:3. If 14 litres of the mixture is drawn and filled with water, the ratio changes to 3:4. How much milk was there in the vessel initially?
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1
Answer:
24
Step-by-step explanation:
Given
A vessel contains milk and water in the ratio of 4:3. If 14 litres of the mixture is drawn and filled with water, the ratio changes to 3:4. How much milk was there in the vessel initially?
ANSWER
Let milk m = 4 x and water = w = 3 x
So given m/w = ¾
Now 4 x / 3 x + 14 = ¾
16 x = 9 x + 42
16 x – 9 x = 42
7 x = 42
x = 42/7
x = 6
Now milk = 4 x = 4 x 6 = 24 litres
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