A container contained 2.3 ℓ more water than a bottle. After some water was poured from the container to the bottle, both the container and the bottle had 7 ℓ of water each. How much water was there in the bottle at first?
| |
Container |
Bottle |
Total |
| Before |
1 u + 2.3 |
1 u |
14 |
| Change |
- ? |
+ ? |
|
| After |
7 |
7 |
14 |
Volume of water in the bottle = 1 u
Volume of water in the container = 1 u + 2.3
Total volume of water
= 1 u + 1 u + 2.3
= 2 u + 2.3
Total volume of water
= 2 x 7
= 14 ℓ
When water is poured from the container to the bottle, the total volume remains unchanged.
2 u + 2.3 = 14
2 u = 14 - 2.3
2 u = 11.7
1 u = 11.7 ÷ 2 = 5.85
Volume of water in the bottle at first = 5.85 ℓ
Answer(s): 5.85 ℓ
