There was 10.2 ℓ of water in a bucket and 2.4 ℓ of water in a pail. Sam then poured in an equal volume of water into each container. Now, the volume of water in the bucket is 3 times in the pail. How much water did Sam pour into each container?
|
Basin |
Pail |
Difference |
Before |
10.2 ℓ |
2.4 ℓ |
7.8 ℓ |
Change |
+ ? |
+ ? |
|
After |
3 u |
1 u |
2 u |
Difference in the volume of water between the bucket and the pail
= 10.2 - 2.4
= 7.8 ℓ
Since Sam 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 = 7.8
1 u = 7.8 ÷ 2 = 3.9
Volume of water that Sam poured into each container
= 1 u - 2.4
= 3.9 - 2.4
= 1.5 ℓ
Answer(s): 1.5 ℓ