There was 16.2 ℓ of water in a basin and 2.1 ℓ of water in a tank. Michael 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 Michael pour into each container?
| |
Basin |
Pail |
Difference |
| Before |
16.2 ℓ |
2.1 ℓ |
14.1 ℓ |
| Change |
+ ? |
+ ? |
|
| After |
4 u |
1 u |
3 u |
Difference in the volume of water between the basin and the tank
= 16.2 - 2.1
= 14.1 ℓ
Since Michael 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 = 14.1
1 u = 14.1 ÷ 3 = 4.7
Volume of water that Michael poured into each container
= 1 u - 2.1
= 4.7 - 2.1
= 2.6 ℓ
Answer(s): 2.6 ℓ
