From a mixture of 100 litre of milk and water which contain 70% milk and 30% water some amount is taken out and replaced with water. The recultant mixture contains equal amount of milk and water. Find the amount of mixture taken out in first step.
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Answer:
28.57 L
Step-by-step explanation:
Given initial milk to water ratio = 7:3.
Let x be the amount (in L) taken out in the first step.
So now left is (100 - x) L mixture.
So now milk is (7/10)*(100-x) L and water is (3/10)*(100-x) L and then x L water is added as x L mixture was taken out first.
Final milk amount = water amount.
Therefore, (7/10)*(100-x) = (3/10)*(100-x) + x
x = 200/7 = 28.57 L
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