A bottle contained 2.1 ℓ more water than a pot. After some water was poured from the bottle to the pot, both the bottle and the pot had 6 ℓ of water each. How much water was there in the pot at first?
|
Bottle |
Pot |
Total |
Before |
1 u + 2.1 |
1 u |
12 |
Change |
- ? |
+ ? |
|
After |
6 |
6 |
12 |
Volume of water in the pot = 1 u
Volume of water in the bottle = 1 u + 2.1
Total volume of water
= 1 u + 1 u + 2.1
= 2 u + 2.1
Total volume of water
= 2 x 6
= 12 ℓ
When water is poured from the bottle to the pot, the total volume remains unchanged.
2 u + 2.1 = 12
2 u = 12 - 2.1
2 u = 9.9
1 u = 9.9 ÷ 2 = 4.95
Volume of water in the pot at first = 4.95 ℓ
Answer(s): 4.95 ℓ