The total volume of water in Tank S, Tank T and Tank U was 237 mℓ. Ian poured out half the volume of water from Tank S, tripled the amount of water in Tank T and poured out 72 mℓ of water from Tank U. The ratio of the volume of water in Tank S to Tank T to Tank U is now 3 : 9 : 2. Find the total volume of water in the three tanks now.
| |
S |
T |
U |
| Before |
6 u |
3 u |
2 u + 72 |
| Change |
- 3 u |
+ 6 u |
- 72 |
| After |
3 u |
9 u |
2 u |
Volume of water in Tank S at first before Ethan poured out half the volume
= 2 x 3 u
= 6 u
Volume of water in Tank T at first before Ethan tripled the volume
= 9 u ÷ 3
= 3 u
Volume of water in Tank T at first before Ethan poured out 72 mℓ of water
= 2 u + 72
Total volume of water in the three tanks at first
= 6 u + 3 u + 2 u + 72
= 11 u + 72
11 u + 72 = 237
11 u = 237 - 72
11 u = 165
1 u = 165 ÷ 11 = 15
Total volume of water in the three tanks now
= 3 u + 9 u + 2 u
= 14 u
= 14 x 15
= 210 mℓ
Answer(s): 210 mℓ
