The total volume of water in Tank G, Tank H and Tank J was 344 mℓ. Ian poured out half the volume of water from Tank G, tripled the amount of water in Tank H and poured out 120 mℓ of water from Tank J. The ratio of the volume of water in Tank G to Tank H to Tank J is now 2 : 3 : 9. Find the total volume of water in the three tanks now.
| |
G |
H |
J |
| Before |
4 u |
1 u |
9 u + 120 |
| Change |
- 2 u |
+ 2 u |
- 120 |
| After |
2 u |
3 u |
9 u |
Volume of water in Tank G at first before Rael poured out half the volume
= 2 x 2 u
= 4 u
Volume of water in Tank H at first before Rael tripled the volume
= 3 u ÷ 3
= 1 u
Volume of water in Tank H at first before Rael poured out 120 mℓ of water
= 9 u + 120
Total volume of water in the three tanks at first
= 4 u + 1 u + 9 u + 120
= 14 u + 120
14 u + 120 = 344
14 u = 344 - 120
14 u = 224
1 u = 224 ÷ 14 = 16
Total volume of water in the three tanks now
= 2 u + 3 u + 9 u
= 14 u
= 14 x 16
= 224 mℓ
Answer(s): 224 mℓ
