The total volume of water in Tank F, Tank G and Tank H was 246 mℓ. Ian poured out half the volume of water from Tank F, tripled the amount of water in Tank G and poured out 50 mℓ of water from Tank H. The ratio of the volume of water in Tank F to Tank G to Tank H is now 6 : 3 : 1. Find the total volume of water in the three tanks now.
| |
F |
G |
H |
| Before |
12 u |
1 u |
1 u + 50 |
| Change |
- 6 u |
+ 2 u |
- 50 |
| After |
6 u |
3 u |
1 u |
Volume of water in Tank F at first before Zeph poured out half the volume
= 2 x 6 u
= 12 u
Volume of water in Tank G at first before Zeph tripled the volume
= 3 u ÷ 3
= 1 u
Volume of water in Tank G at first before Zeph poured out 50 mℓ of water
= 1 u + 50
Total volume of water in the three tanks at first
= 12 u + 1 u + 1 u + 50
= 14 u + 50
14 u + 50 = 246
14 u = 246 - 50
14 u = 196
1 u = 196 ÷ 14 = 14
Total volume of water in the three tanks now
= 6 u + 3 u + 1 u
= 10 u
= 10 x 14
= 140 mℓ
Answer(s): 140 mℓ
