The total volume of water in Tank K, Tank L and Tank M was 406 mℓ. Ian poured out half the volume of water from Tank K, tripled the amount of water in Tank L and poured out 146 mℓ of water from Tank M. The ratio of the volume of water in Tank K to Tank L to Tank M is now 3 : 6 : 5. Find the total volume of water in the three tanks now.
| |
K |
L |
M |
| Before |
6 u |
2 u |
5 u + 146 |
| Change |
- 3 u |
+ 4 u |
- 146 |
| After |
3 u |
6 u |
5 u |
Volume of water in Tank K at first before Archie poured out half the volume
= 2 x 3 u
= 6 u
Volume of water in Tank L at first before Archie tripled the volume
= 6 u ÷ 3
= 2 u
Volume of water in Tank L at first before Archie poured out 146 mℓ of water
= 5 u + 146
Total volume of water in the three tanks at first
= 6 u + 2 u + 5 u + 146
= 13 u + 146
13 u + 146 = 406
13 u = 406 - 146
13 u = 260
1 u = 260 ÷ 13 = 20
Total volume of water in the three tanks now
= 3 u + 6 u + 5 u
= 14 u
= 14 x 20
= 280 mℓ
Answer(s): 280 mℓ
