Answer:
- 40 ml of water must be added.
Step-by-step explanation:
Initial volume of mixture is 100 ml with oil to water ratio of 1 : 4.
First, let's find the volume of each component.
If the oil is x then water is 4x according to ratio and their sum is 100 ml:
- x + 4x = 100
- 5x = 100
- x = 20
So, we have 20 ml of oil and 80 ml of water.
Now, let's added volume of oil be y. Then we have the ratio:
- (20 + y)/80 = 1/2
- 20 + y = 40
- y = 20
So, we have 40 ml of oil and 80 ml of water.
Lastly, let's added water be z. Then we have the ratio:
- 40/(80 + z) = 1/3
- 80 + z = 120
- z = 40
We must add 40 ml of water.
