A jar contained 2.1 ℓ more water than a bottle. After some water was poured from the jar to the bottle, both the jar and the bottle had 4 ℓ of water each. How much water was there in the bottle at first?
| |
Jar |
Bottle |
Total |
| Before |
1 u + 2.1 |
1 u |
8 |
| Change |
- ? |
+ ? |
|
| After |
4 |
4 |
8 |
Volume of water in the bottle = 1 u
Volume of water in the jar = 1 u + 2.1
Total volume of water
= 1 u + 1 u + 2.1
= 2 u + 2.1
Total volume of water
= 2 x 4
= 8 ℓ
When water is poured from the jar to the bottle, the total volume remains unchanged.
2 u + 2.1 = 8
2 u = 8 - 2.1
2 u = 5.9
1 u = 5.9 ÷ 2 = 2.95
Volume of water in the bottle at first = 2.95 ℓ
Answer(s): 2.95 ℓ
