The total volume of water in Tank W, Tank X and Tank Y was 307 mℓ. Ian poured out half the volume of water from Tank W, tripled the amount of water in Tank X and poured out 83 mℓ of water from Tank Y. The ratio of the volume of water in Tank W to Tank X to Tank Y is now 4 : 9 : 5. Find the total volume of water in the three tanks now.
| |
W |
X |
Y |
| Before |
8 u |
3 u |
5 u + 83 |
| Change |
- 4 u |
+ 6 u |
- 83 |
| After |
4 u |
9 u |
5 u |
Volume of water in Tank W at first before Luke poured out half the volume
= 2 x 4 u
= 8 u
Volume of water in Tank X at first before Luke tripled the volume
= 9 u ÷ 3
= 3 u
Volume of water in Tank X at first before Luke poured out 83 mℓ of water
= 5 u + 83
Total volume of water in the three tanks at first
= 8 u + 3 u + 5 u + 83
= 16 u + 83
16 u + 83 = 307
16 u = 307 - 83
16 u = 224
1 u = 224 ÷ 16 = 14
Total volume of water in the three tanks now
= 4 u + 9 u + 5 u
= 18 u
= 18 x 14
= 252 mℓ
Answer(s): 252 mℓ
