The total volume of water in Tank W, Tank X and Tank Y was 221 mℓ. Ian poured out half the volume of water from Tank W, tripled the amount of water in Tank X and poured out 131 mℓ of water from Tank Y. The ratio of the volume of water in Tank W to Tank X to Tank Y is now 2 : 9 : 8. Find the total volume of water in the three tanks now.
| |
W |
X |
Y |
| Before |
4 u |
3 u |
8 u + 131 |
| Change |
- 2 u |
+ 6 u |
- 131 |
| After |
2 u |
9 u |
8 u |
Volume of water in Tank W at first before Caden poured out half the volume
= 2 x 2 u
= 4 u
Volume of water in Tank X at first before Caden tripled the volume
= 9 u ÷ 3
= 3 u
Volume of water in Tank X at first before Caden poured out 131 mℓ of water
= 8 u + 131
Total volume of water in the three tanks at first
= 4 u + 3 u + 8 u + 131
= 15 u + 131
15 u + 131 = 221
15 u = 221 - 131
15 u = 90
1 u = 90 ÷ 15 = 6
Total volume of water in the three tanks now
= 2 u + 9 u + 8 u
= 19 u
= 19 x 6
= 114 mℓ
Answer(s): 114 mℓ
