The total volume of water in Bottle U, Bottle V and Bottle W was 341 mℓ. Ian poured out half the volume of water from Bottle U, tripled the amount of water in Bottle V and poured out 131 mℓ of water from Bottle W. The ratio of the volume of water in Bottle U to Bottle V to Bottle W is now 5 : 9 : 2. Find the total volume of water in the three bottles now.
| |
U |
V |
W |
| Before |
10 u |
3 u |
2 u + 131 |
| Change |
- 5 u |
+ 6 u |
- 131 |
| After |
5 u |
9 u |
2 u |
Volume of water in Bottle U at first before Harry poured out half the volume
= 2 x 5 u
= 10 u
Volume of water in Bottle V at first before Harry tripled the volume
= 9 u ÷ 3
= 3 u
Volume of water in Bottle V at first before Harry poured out 131 mℓ of water
= 2 u + 131
Total volume of water in the three bottles at first
= 10 u + 3 u + 2 u + 131
= 15 u + 131
15 u + 131 = 341
15 u = 341 - 131
15 u = 210
1 u = 210 ÷ 15 = 14
Total volume of water in the three bottles now
= 5 u + 9 u + 2 u
= 16 u
= 16 x 14
= 224 mℓ
Answer(s): 224 mℓ
