The total volume of water in Tank E, Tank F and Tank G was 73 mℓ. Ian poured out half the volume of water from Tank E, doubled the amount of water in Tank F and added 95 mℓ of water into Tank G. The ratio of the volume of water in Tank E to Tank F to Tank G is now 9 : 4 : 8. Find the total volume of water in the three tanks now.
| |
E |
F |
G |
| Before |
18 u |
2 u |
8 u - 95 |
| Change |
- 9 u |
+ 2 u |
+ 95 |
| After |
9 u |
4 u |
8 u |
Volume of water in Tank E at first before Cody poured out half the volume
= 2 x 9 u
= 18 u
Volume of water in Tank F at first before Cody doubled the volume
= 4 u ÷ 2
= 2 u
Volume of water in Tank F at first before Cody added 95 mℓ of water
= 8 u - 95
Total volume of water in the three tanks at first
= 18 u + 2 u + 8 u - 95
= 28 u - 95
28 u - 95 = 73
28 u = 73 + 95
28 u = 168
1 u = 168 ÷ 28 = 6
Total volume of water in the three tanks now
= 9 u + 4 u + 8 u
= 21 u
= 21 x 6
= 126 mℓ
Answer(s): 126 mℓ
