A tank contained 2.9 ℓ more water than a pail. After some water was poured from the tank to the pail, both the tank and the pail had 4 ℓ of water each. How much water was there in the pail at first?
|
Tank |
Pail |
Total |
Before |
1 u + 2.9 |
1 u |
8 |
Change |
- ? |
+ ? |
|
After |
4 |
4 |
8 |
Volume of water in the pail = 1 u
Volume of water in the tank = 1 u + 2.9
Total volume of water
= 1 u + 1 u + 2.9
= 2 u + 2.9
Total volume of water
= 2 x 4
= 8 ℓ
When water is poured from the tank to the pail, the total volume remains unchanged.
2 u + 2.9 = 8
2 u = 8 - 2.9
2 u = 5.1
1 u = 5.1 ÷ 2 = 2.55
Volume of water in the pail at first = 2.55 ℓ
Answer(s): 2.55 ℓ