A barrel contained 4.9 ℓ more water than a pot. After some water was poured from the barrel to the pot, both the barrel and the pot had 4 ℓ of water each. How much water was there in the pot at first?
| |
Barrel |
Pot |
Total |
| Before |
1 u + 4.9 |
1 u |
8 |
| Change |
- ? |
+ ? |
|
| After |
4 |
4 |
8 |
Volume of water in the pot = 1 u
Volume of water in the barrel = 1 u + 4.9
Total volume of water
= 1 u + 1 u + 4.9
= 2 u + 4.9
Total volume of water
= 2 x 4
= 8 ℓ
When water is poured from the barrel to the pot, the total volume remains unchanged.
2 u + 4.9 = 8
2 u = 8 - 4.9
2 u = 3.1
1 u = 3.1 ÷ 2 = 1.55
Volume of water in the pot at first = 1.55 ℓ
Answer(s): 1.55 ℓ
