The total volume of water in Tank F, Tank G and Tank H was 344 mℓ. Ian poured out half the volume of water from Tank F, tripled the amount of water in Tank G and poured out 74 mℓ of water from Tank H. The ratio of the volume of water in Tank F to Tank G to Tank H is now 5 : 3 : 7. Find the total volume of water in the three tanks now.
| |
F |
G |
H |
| Before |
10 u |
1 u |
7 u + 74 |
| Change |
- 5 u |
+ 2 u |
- 74 |
| After |
5 u |
3 u |
7 u |
Volume of water in Tank F at first before Rael poured out half the volume
= 2 x 5 u
= 10 u
Volume of water in Tank G at first before Rael tripled the volume
= 3 u ÷ 3
= 1 u
Volume of water in Tank G at first before Rael poured out 74 mℓ of water
= 7 u + 74
Total volume of water in the three tanks at first
= 10 u + 1 u + 7 u + 74
= 18 u + 74
18 u + 74 = 344
18 u = 344 - 74
18 u = 270
1 u = 270 ÷ 18 = 15
Total volume of water in the three tanks now
= 5 u + 3 u + 7 u
= 15 u
= 15 x 15
= 225 mℓ
Answer(s): 225 mℓ
