The total volume of water in Tank K, Tank L and Tank M was 226 mℓ. Ian poured out half the volume of water from Tank K, tripled the amount of water in Tank L and poured out 116 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 : 6. Find the total volume of water in the three tanks now.
| |
K |
L |
M |
| Before |
2 u |
3 u |
6 u + 116 |
| Change |
- 1 u |
+ 6 u |
- 116 |
| After |
1 u |
9 u |
6 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 116 mℓ of water
= 6 u + 116
Total volume of water in the three tanks at first
= 2 u + 3 u + 6 u + 116
= 11 u + 116
11 u + 116 = 226
11 u = 226 - 116
11 u = 110
1 u = 110 ÷ 11 = 10
Total volume of water in the three tanks now
= 1 u + 9 u + 6 u
= 16 u
= 16 x 10
= 160 mℓ
Answer(s): 160 mℓ
