The initial ratio of water and milk in a mixture of 84 litres is 2:5. What quantity of water (in litres) should be added to the mixture so that the resulting mixture has 50% of water?
- A16
- B32
- C36
- D18
Solution & Step-by-step Explanation
Total initial volume = 84 litres
Initial ratio of Water : Milk = 2:5
Sum of the ratio parts = 2+5=7
Initial quantity of Water=
7
2
×84=24 litres
Initial quantity of Milk=
7
5
×84=60 litres
Let the quantity of water to be added be x litres.
In the resulting mixture, water is 50%, which means the ratio of water to milk becomes 1:1 (i.e., equal quantities of water and milk).
Since no milk is added, the quantity of milk remains 60 litres.
New quantity of Water=Quantity of Milk
24+x=60
x=60−24=36 litres
Initial ratio of Water : Milk = 2:5
Sum of the ratio parts = 2+5=7
Initial quantity of Water=
7
2
×84=24 litres
Initial quantity of Milk=
7
5
×84=60 litres
Let the quantity of water to be added be x litres.
In the resulting mixture, water is 50%, which means the ratio of water to milk becomes 1:1 (i.e., equal quantities of water and milk).
Since no milk is added, the quantity of milk remains 60 litres.
New quantity of Water=Quantity of Milk
24+x=60
x=60−24=36 litres