Question

X liters of milk is taken out and replaced with water from a container having 240 liters milk. Now, 20% of the mixture is taken out and replaced with water. In final mixture, the difference in quantity of milk & water is 128 liters. Find x.

Answer 1

Answer:

$\bold{\boxed{The value of X is equal to 10 litres</p><p>After replacing x litres of milk with water, the mixture contains x litres of water and 240-x litres of milk</p><p>When 20% of the mixture is replaced with water amount of milk replaced with water is equal to 20% of (240-x) = (240-x)/5 litres.</p><p>Resulting amount of water in misture is equal to x+(240-x)/5 = (240+4x)/5</p><p>Resulting amount of milk in mixture is equal to (240-x)-(240-x)/5 = 4*(240-x)/5</p><p>Difference between milk and water is equal to (720-8x)/5 = 128</p><p> ⇒8x = 720-640 = 80</p><p> ⇒x = 10 litres}}$

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