A vessel contains a mixture of 30 litres of water and milk in the ratio of 7:3, How much milk must be added to the mixture so that the ratio of water and milk becomes 3:7?
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Step-by-step explanation:
Qty. Of water in 30 litres = (7/10)× 30= 21 litres
So the qty. Of milk in 30 litres = 30 - 21 = 9 litres
Let the quantity of milk to be added to make the ratio of water and milk in the ratio 3:7.
Then 21/(9+x) = 3/7. Taking cross products
3(9+x) = 21×7 => 27+3x = 147 => 3x = 147 - 27
=> 3x = 120 => x = 120/3 = 40.
So 40 litres of milk should be added.
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