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 6 ℓ of water each. How much water was there in the bottle at first?
|
Pot |
Bottle |
Total |
Before |
1 u + 2.5 |
1 u |
12 |
Change |
- ? |
+ ? |
|
After |
6 |
6 |
12 |
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 6
= 12 ℓ
When water is poured from the pot to the bottle, the total volume remains unchanged.
2 u + 2.5 = 12
2 u = 12 - 2.5
2 u = 9.5
1 u = 9.5 ÷ 2 = 4.75
Volume of water in the bottle at first = 4.75 ℓ
Answer(s): 4.75 ℓ