The total volume of water in Tank E, Tank F and Tank G was 233 mℓ. Ian poured out half the volume of water from Tank E, tripled the amount of water in Tank F and poured out 137 mℓ of water from Tank G. The ratio of the volume of water in Tank E to Tank F to Tank G is now 3 : 6 : 8. Find the total volume of water in the three tanks now.
| |
E |
F |
G |
| Before |
6 u |
2 u |
8 u + 137 |
| Change |
- 3 u |
+ 4 u |
- 137 |
| After |
3 u |
6 u |
8 u |
Volume of water in Tank E at first before Rael poured out half the volume
= 2 x 3 u
= 6 u
Volume of water in Tank F at first before Rael tripled the volume
= 6 u ÷ 3
= 2 u
Volume of water in Tank F at first before Rael poured out 137 mℓ of water
= 8 u + 137
Total volume of water in the three tanks at first
= 6 u + 2 u + 8 u + 137
= 16 u + 137
16 u + 137 = 233
16 u = 233 - 137
16 u = 96
1 u = 96 ÷ 16 = 6
Total volume of water in the three tanks now
= 3 u + 6 u + 8 u
= 17 u
= 17 x 6
= 102 mℓ
Answer(s): 102 mℓ
