The total volume of water in Tank K, Tank L and Tank M was 357 mℓ. Ian poured out half the volume of water from Tank K, tripled the amount of water in Tank L and poured out 119 mℓ of water from Tank M. The ratio of the volume of water in Tank K to Tank L to Tank M is now 1 : 9 : 9. Find the total volume of water in the three tanks now.
|
K |
L |
M |
Before |
2 u |
3 u |
9 u + 119 |
Change |
- 1 u |
+ 6 u |
- 119 |
After |
1 u |
9 u |
9 u |
Volume of water in Tank K at first before Ivan poured out half the volume
= 2 x 1 u
= 2 u
Volume of water in Tank L at first before Ivan tripled the volume
= 9 u ÷ 3
= 3 u
Volume of water in Tank L at first before Ivan poured out 119 mℓ of water
= 9 u + 119
Total volume of water in the three tanks at first
= 2 u + 3 u + 9 u + 119
= 14 u + 119
14 u + 119 = 357
14 u = 357 - 119
14 u = 238
1 u = 238 ÷ 14 = 17
Total volume of water in the three tanks now
= 1 u + 9 u + 9 u
= 19 u
= 19 x 17
= 323 mℓ
Answer(s): 323 mℓ