Question

If a 10 lit. mixture contains milk and water in the ratio 2:1 then, how much more mixture should be added to change the ratio to 1:2 ?

Answer 1

Original volume =  10 L

milk : water = 2:1 


Volume of milk = 2/3 x 10 = 20/3 L


Volume of water = 1/3 x 10 = 1/30 L



If we add x L of water:


New volume of solution = 10 + x

Volume of milk = 20/3 L

Volume of water = (1/30 + x) L



Ratio of milk to water = 20/3  : (1/30 + x) = 1 : 2


1/30 + x = 40/3


x = 133/10


x = 13.3 Litres of water

Answer 2

Answer:

Step-by-step explanation:

Original volume = 10 L

milk : water = 2:1

Volume of milk = 2/3 x 10 = 20/3 L

Volume of water = 1/3 x 10 = 1/30 L

If we add x L of water:

New volume of solution = 10 + x

Volume of milk = 20/3 L

Volume of water = (1/30 + x) L

Ratio of milk to water = 20/3 : (1/30 + x) = 1 : 2

1/30 + x = 40/3

x = 133/10

x = 13.3 Litres of water