The total volume of water in Tank F, Tank G and Tank H was 57 mℓ. Ian poured out half the volume of water from Tank F, doubled the amount of water in Tank G and added 103 mℓ of water into Tank H. The ratio of the volume of water in Tank F to Tank G to Tank H is now 7 : 6 : 3. Find the total volume of water in the three tanks now.
| |
F |
G |
H |
| Before |
14 u |
3 u |
3 u - 103 |
| Change |
- 7 u |
+ 3 u |
+ 103 |
| After |
7 u |
6 u |
3 u |
Volume of water in Tank F at first before Will poured out half the volume
= 2 x 7 u
= 14 u
Volume of water in Tank G at first before Will doubled the volume
= 6 u ÷ 2
= 3 u
Volume of water in Tank G at first before Will added 103 mℓ of water
= 3 u - 103
Total volume of water in the three tanks at first
= 14 u + 3 u + 3 u - 103
= 20 u - 103
20 u - 103 = 57
20 u = 57 + 103
20 u = 160
1 u = 160 ÷ 20 = 8
Total volume of water in the three tanks now
= 7 u + 6 u + 3 u
= 16 u
= 16 x 8
= 128 mℓ
Answer(s): 128 mℓ
