A bottle contained 2.5 ℓ more water than a can. After some water was poured from the bottle to the can, both the bottle and the can had 8 ℓ of water each. How much water was there in the can at first?
| |
Bottle |
Can |
Total |
| Before |
1 u + 2.5 |
1 u |
16 |
| Change |
- ? |
+ ? |
|
| After |
8 |
8 |
16 |
Volume of water in the can = 1 u
Volume of water in the bottle = 1 u + 2.5
Total volume of water
= 1 u + 1 u + 2.5
= 2 u + 2.5
Total volume of water
= 2 x 8
= 16 ℓ
When water is poured from the bottle to the can, the total volume remains unchanged.
2 u + 2.5 = 16
2 u = 16 - 2.5
2 u = 13.5
1 u = 13.5 ÷ 2 = 6.75
Volume of water in the can at first = 6.75 ℓ
Answer(s): 6.75 ℓ
