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Question
A cistern of milk caitains a mixture of milk and water in the ratio of 11 :4. If the cistern contains 60 litres of milk, how much more water must be added to make the
ratio of milk to water as 11:6 ?
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Solution
Quantity of milk = ` 60 xx 11/15 = 44` litres
Quantity of water in it= 60-44 = 16 litres
New ratio= 11:6
Let quantity of water to be added further be x litres.
Then, milk : water = `44/(16 + "x")`
Now ,
`44/(16 + "x") = 11/6`
⇒ 264 = 176 + 11x
⇒ 11x = 88
⇒ x = 8
Therefore, 8 litres of water need to be added further.
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