The total volume of water in Tank D, Tank E and Tank F was 14 mℓ. Ian poured out half the volume of water from Tank D, doubled the amount of water in Tank E and added 96 mℓ of water into Tank F. The ratio of the volume of water in Tank D to Tank E to Tank F is now 1 : 8 : 4. Find the total volume of water in the three tanks now.
| |
D |
E |
F |
| Before |
2 u |
4 u |
4 u - 96 |
| Change |
- 1 u |
+ 4 u |
+ 96 |
| After |
1 u |
8 u |
4 u |
Volume of water in Tank D at first before Ethan poured out half the volume
= 2 x 1 u
= 2 u
Volume of water in Tank E at first before Ethan doubled the volume
= 8 u ÷ 2
= 4 u
Volume of water in Tank E at first before Ethan added 96 mℓ of water
= 4 u - 96
Total volume of water in the three tanks at first
= 2 u + 4 u + 4 u - 96
= 10 u - 96
10 u - 96 = 14
10 u = 14 + 96
10 u = 110
1 u = 110 ÷ 10 = 11
Total volume of water in the three tanks now
= 1 u + 8 u + 4 u
= 13 u
= 13 x 11
= 143 mℓ
Answer(s): 143 mℓ
