A container contained 3.3 ℓ more water than a bottle. After some water was poured from the container to the bottle, both the container and the bottle had 8 ℓ of water each. How much water was there in the bottle at first?
| |
Container |
Bottle |
Total |
| Before |
1 u + 3.3 |
1 u |
16 |
| Change |
- ? |
+ ? |
|
| After |
8 |
8 |
16 |
Volume of water in the bottle = 1 u
Volume of water in the container = 1 u + 3.3
Total volume of water
= 1 u + 1 u + 3.3
= 2 u + 3.3
Total volume of water
= 2 x 8
= 16 ℓ
When water is poured from the container to the bottle, the total volume remains unchanged.
2 u + 3.3 = 16
2 u = 16 - 3.3
2 u = 12.7
1 u = 12.7 ÷ 2 = 6.35
Volume of water in the bottle at first = 6.35 ℓ
Answer(s): 6.35 ℓ
