Question

a mixture contains milk annd water in the ratio 6:5. when 33litres of mixture of replaced by same quantity of water then ratio becomes 3:4. Find the initial quantity of water​

Answer 1

Answer:

A mixture contains milk and water in a ratio of 6:5. When 33 litres of the mixture is replaced by the same quantity of water, the ratio becomes 3:4. What is the initial quantity of the water?

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Let the quantity of mixture at the start = 11X+33 litre

Quantity of mixture 33 litre are removed = 11 X

Quantity of milk = 6X

Quantity of water = 5X

So when 33 litre of water is added, the equation will be

6 X : 5X +33 :: 3:4

X= 11

Quantity of mixture at the start

= 11× 11 + 33

= 154 litre

Initial quantity of water = 154 × 5/11

= 70 litre

PS: Initial amount of mixture is taken 11X+33 to keep the calculation simple.11X as it is sum of 6+5 and 33 as this amount of mixture is removed before adding water in the mixture