Pail Q has thrice as much water as Pail P. If Ivan adds 0.9 ℓ of water to Pail Q and 2.4 ℓ of water to Pail P, both pails will have the same volume of water. Find the volume of water in Pail Q at first.
| |
P |
Q |
| Before |
1 u |
3 u |
| Change |
+ 2.4 |
+ 0.9 |
| After |
1 u + 2.4 |
3 u + 0.9 |
Both pails have the same volume of water in the end.
3 u + 0.9 = 1 u + 2.4
3 u - 1 u = 2.4 - 0.9
2 u = 1.5
1 u = 1.5 ÷ 2 = 0.75
Volume of water in Pail Q at first
= 3 u
= 3 x 0.75
= 2.25 ℓ
Answer(s): 2.25 ℓ
