There was 12.3 ℓ of water in a basin and 2.5 ℓ of water in a tank. George then poured in an equal volume of water into each container. Now, the volume of water in the basin is 3 times in the tank. How much water did George pour into each container?
|
Basin |
Pail |
Difference |
Before |
12.3 ℓ |
2.5 ℓ |
9.8 ℓ |
Change |
+ ? |
+ ? |
|
After |
3 u |
1 u |
2 u |
Difference in the volume of water between the basin and the tank
= 12.3 - 2.5
= 9.8 ℓ
Since George poured in an equal volume of water into each container, the difference in the volume of water at first and in the end remains the same.
2 u = 9.8
1 u = 9.8 ÷ 2 = 4.9
Volume of water that George poured into each container
= 1 u - 2.5
= 4.9 - 2.5
= 2.4 ℓ
Answer(s): 2.4 ℓ