There was 12.9 ℓ of water in a bucket and 1.8 ℓ of water in a pail. Elijah then poured in an equal volume of water into each container. Now, the volume of water in the bucket is 4 times in the pail. How much water did Elijah pour into each container?
| |
Basin |
Pail |
Difference |
| Before |
12.9 ℓ |
1.8 ℓ |
11.1 ℓ |
| Change |
+ ? |
+ ? |
|
| After |
4 u |
1 u |
3 u |
Difference in the volume of water between the bucket and the pail
= 12.9 - 1.8
= 11.1 ℓ
Since Elijah 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 = 11.1
1 u = 11.1 ÷ 3 = 3.7
Volume of water that Elijah poured into each container
= 1 u - 1.8
= 3.7 - 1.8
= 1.9 ℓ
Answer(s): 1.9 ℓ
