The total volume of water in Tank G, Tank H and Tank J was 261 mℓ. Ian poured out half the volume of water from Tank G, doubled the amount of water in Tank H and added 119 mℓ of water into Tank J. The ratio of the volume of water in Tank G to Tank H to Tank J is now 3 : 8 : 9. Find the total volume of water in the three tanks now.
| |
G |
H |
J |
| Before |
6 u |
4 u |
9 u - 119 |
| Change |
- 3 u |
+ 4 u |
+ 119 |
| After |
3 u |
8 u |
9 u |
Volume of water in Tank G at first before Charlie poured out half the volume
= 2 x 3 u
= 6 u
Volume of water in Tank H at first before Charlie doubled the volume
= 8 u ÷ 2
= 4 u
Volume of water in Tank H at first before Charlie added 119 mℓ of water
= 9 u - 119
Total volume of water in the three tanks at first
= 6 u + 4 u + 9 u - 119
= 19 u - 119
19 u - 119 = 261
19 u = 261 + 119
19 u = 380
1 u = 380 ÷ 19 = 20
Total volume of water in the three tanks now
= 3 u + 8 u + 9 u
= 20 u
= 20 x 20
= 400 mℓ
Answer(s): 400 mℓ
