A pot contained 2.5 ℓ more water than a bottle. After some water was poured from the pot to the bottle, both the pot and the bottle had 4 ℓ of water each. How much water was there in the bottle at first?
| |
Pot |
Bottle |
Total |
| Before |
1 u + 2.5 |
1 u |
8 |
| Change |
- ? |
+ ? |
|
| After |
4 |
4 |
8 |
Volume of water in the bottle = 1 u
Volume of water in the pot = 1 u + 2.5
Total volume of water
= 1 u + 1 u + 2.5
= 2 u + 2.5
Total volume of water
= 2 x 4
= 8 ℓ
When water is poured from the pot to the bottle, the total volume remains unchanged.
2 u + 2.5 = 8
2 u = 8 - 2.5
2 u = 5.5
1 u = 5.5 ÷ 2 = 2.75
Volume of water in the bottle at first = 2.75 ℓ
Answer(s): 2.75 ℓ
