The total volume of water in Tank K, Tank L and Tank M was 257 mℓ. Ian poured out half the volume of water from Tank K, tripled the amount of water in Tank L and poured out 117 mℓ of water from Tank M. The ratio of the volume of water in Tank K to Tank L to Tank M is now 2 : 3 : 9. Find the total volume of water in the three tanks now.
|
K |
L |
M |
Before |
4 u |
1 u |
9 u + 117 |
Change |
- 2 u |
+ 2 u |
- 117 |
After |
2 u |
3 u |
9 u |
Volume of water in Tank K at first before Peter poured out half the volume
= 2 x 2 u
= 4 u
Volume of water in Tank L at first before Peter tripled the volume
= 3 u ÷ 3
= 1 u
Volume of water in Tank L at first before Peter poured out 117 mℓ of water
= 9 u + 117
Total volume of water in the three tanks at first
= 4 u + 1 u + 9 u + 117
= 14 u + 117
14 u + 117 = 257
14 u = 257 - 117
14 u = 140
1 u = 140 ÷ 14 = 10
Total volume of water in the three tanks now
= 2 u + 3 u + 9 u
= 14 u
= 14 x 10
= 140 mℓ
Answer(s): 140 mℓ