The total volume of water in Tank H, Tank J and Tank K was 301 mℓ. Ian poured out half the volume of water from Tank H, tripled the amount of water in Tank J and poured out 112 mℓ of water from Tank K. The ratio of the volume of water in Tank H to Tank J to Tank K is now 5 : 6 : 9. Find the total volume of water in the three tanks now.
| |
H |
J |
K |
| Before |
10 u |
2 u |
9 u + 112 |
| Change |
- 5 u |
+ 4 u |
- 112 |
| After |
5 u |
6 u |
9 u |
Volume of water in Tank H at first before Paul poured out half the volume
= 2 x 5 u
= 10 u
Volume of water in Tank J at first before Paul tripled the volume
= 6 u ÷ 3
= 2 u
Volume of water in Tank J at first before Paul poured out 112 mℓ of water
= 9 u + 112
Total volume of water in the three tanks at first
= 10 u + 2 u + 9 u + 112
= 21 u + 112
21 u + 112 = 301
21 u = 301 - 112
21 u = 189
1 u = 189 ÷ 21 = 9
Total volume of water in the three tanks now
= 5 u + 6 u + 9 u
= 20 u
= 20 x 9
= 180 mℓ
Answer(s): 180 mℓ
