The total volume of water in Tank K, Tank L and Tank M was 28 mℓ. Ian poured out half the volume of water from Tank K, doubled the amount of water in Tank L and added 92 mℓ of water into Tank M. The ratio of the volume of water in Tank K to Tank L to Tank M is now 7 : 4 : 4. Find the total volume of water in the three tanks now.
| |
K |
L |
M |
| Before |
14 u |
2 u |
4 u - 92 |
| Change |
- 7 u |
+ 2 u |
+ 92 |
| After |
7 u |
4 u |
4 u |
Volume of water in Tank K at first before Zane poured out half the volume
= 2 x 7 u
= 14 u
Volume of water in Tank L at first before Zane doubled the volume
= 4 u ÷ 2
= 2 u
Volume of water in Tank L at first before Zane added 92 mℓ of water
= 4 u - 92
Total volume of water in the three tanks at first
= 14 u + 2 u + 4 u - 92
= 20 u - 92
20 u - 92 = 28
20 u = 28 + 92
20 u = 120
1 u = 120 ÷ 20 = 6
Total volume of water in the three tanks now
= 7 u + 4 u + 4 u
= 15 u
= 15 x 6
= 90 mℓ
Answer(s): 90 mℓ
