A barrel contained 3.3 ℓ more water than a pail. After some water was poured from the barrel to the pail, both the barrel and the pail had 7 ℓ of water each. How much water was there in the pail at first?
| |
Barrel |
Pail |
Total |
| Before |
1 u + 3.3 |
1 u |
14 |
| Change |
- ? |
+ ? |
|
| After |
7 |
7 |
14 |
Volume of water in the pail = 1 u
Volume of water in the barrel = 1 u + 3.3
Total volume of water
= 1 u + 1 u + 3.3
= 2 u + 3.3
Total volume of water
= 2 x 7
= 14 ℓ
When water is poured from the barrel to the pail, the total volume remains unchanged.
2 u + 3.3 = 14
2 u = 14 - 3.3
2 u = 10.7
1 u = 10.7 ÷ 2 = 5.35
Volume of water in the pail at first = 5.35 ℓ
Answer(s): 5.35 ℓ
