There was 12.8 ℓ of water in a basin and 1.1 ℓ of water in a tank. Archie then poured in an equal volume of water into each container. Now, the volume of water in the basin is 4 times in the tank. How much water did Archie pour into each container?
|
Basin |
Pail |
Difference |
Before |
12.8 ℓ |
1.1 ℓ |
11.7 ℓ |
Change |
+ ? |
+ ? |
|
After |
4 u |
1 u |
3 u |
Difference in the volume of water between the basin and the tank
= 12.8 - 1.1
= 11.7 ℓ
Since Archie 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.
3 u = 11.7
1 u = 11.7 ÷ 3 = 3.9
Volume of water that Archie poured into each container
= 1 u - 1.1
= 3.9 - 1.1
= 2.8 ℓ
Answer(s): 2.8 ℓ