The total volume of water in Tank H, Tank J and Tank K was 73 mℓ. Ian poured out half the volume of water from Tank H, doubled the amount of water in Tank J and added 81 mℓ of water into Tank K. The ratio of the volume of water in Tank H to Tank J to Tank K is now 10 : 2 : 1. Find the total volume of water in the three tanks now.
| |
H |
J |
K |
| Before |
20 u |
1 u |
1 u - 81 |
| Change |
- 10 u |
+ 1 u |
+ 81 |
| After |
10 u |
2 u |
1 u |
Volume of water in Tank H at first before Andy poured out half the volume
= 2 x 10 u
= 20 u
Volume of water in Tank J at first before Andy doubled the volume
= 2 u ÷ 2
= 1 u
Volume of water in Tank J at first before Andy added 81 mℓ of water
= 1 u - 81
Total volume of water in the three tanks at first
= 20 u + 1 u + 1 u - 81
= 22 u - 81
22 u - 81 = 73
22 u = 73 + 81
22 u = 154
1 u = 154 ÷ 22 = 7
Total volume of water in the three tanks now
= 10 u + 2 u + 1 u
= 13 u
= 13 x 7
= 91 mℓ
Answer(s): 91 mℓ
