The total volume of water in Tank J, Tank K and Tank L was 233 mℓ. Ian poured out half the volume of water from Tank J, tripled the amount of water in Tank K and poured out 142 mℓ of water from Tank L. The ratio of the volume of water in Tank J to Tank K to Tank L is now 3 : 6 : 5. Find the total volume of water in the three tanks now.
|
J |
K |
L |
Before |
6 u |
2 u |
5 u + 142 |
Change |
- 3 u |
+ 4 u |
- 142 |
After |
3 u |
6 u |
5 u |
Volume of water in Tank J at first before Fabian poured out half the volume
= 2 x 3 u
= 6 u
Volume of water in Tank K at first before Fabian tripled the volume
= 6 u ÷ 3
= 2 u
Volume of water in Tank K at first before Fabian poured out 142 mℓ of water
= 5 u + 142
Total volume of water in the three tanks at first
= 6 u + 2 u + 5 u + 142
= 13 u + 142
13 u + 142 = 233
13 u = 233 - 142
13 u = 91
1 u = 91 ÷ 13 = 7
Total volume of water in the three tanks now
= 3 u + 6 u + 5 u
= 14 u
= 14 x 7
= 98 mℓ
Answer(s): 98 mℓ