Shrewd milkman mixes water and milk in the ratio of 2:3. what part of this mixture should be removed and replaced with water so that the solution contains water and milk in the ratio 1:1?
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6
Answer:
1/6
Step-by-step explanation:
Assume 5l mix
=> 2l water + 3l milk
x l mixter is removed.
2x/5 water + 3x/5 milk
remaining
(2 - 2x/5) water + (3 - 3x/5) milk
x l water is added
(2 - 2x/5 + x) water + (3 - 3x/5) milk
new ratio = 1:1
(2 - 2x/5 + x) = (3 - 3x/5)
=> 10 - 2x + 5x = 15 - 3x
=> 6x = 5
=> x = 5/6 l
in 5l ---> 5/6 l is removed
=> 1l ---> 1/6 l is removed
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