A tank contained 2.3 ℓ more water than a pail. After some water was poured from the tank to the pail, both the tank and the pail had 5 ℓ of water each. How much water was there in the pail at first?
| |
Tank |
Pail |
Total |
| Before |
1 u + 2.3 |
1 u |
10 |
| Change |
- ? |
+ ? |
|
| After |
5 |
5 |
10 |
Volume of water in the pail = 1 u
Volume of water in the tank = 1 u + 2.3
Total volume of water
= 1 u + 1 u + 2.3
= 2 u + 2.3
Total volume of water
= 2 x 5
= 10 ℓ
When water is poured from the tank to the pail, the total volume remains unchanged.
2 u + 2.3 = 10
2 u = 10 - 2.3
2 u = 7.7
1 u = 7.7 ÷ 2 = 3.85
Volume of water in the pail at first = 3.85 ℓ
Answer(s): 3.85 ℓ
