The total volume of water in Bottle V, Bottle W and Bottle X was 249 mℓ. Ian poured out half the volume of water from Bottle V, tripled the amount of water in Bottle W and poured out 129 mℓ of water from Bottle X. The ratio of the volume of water in Bottle V to Bottle W to Bottle X is now 2 : 9 : 3. Find the total volume of water in the three bottles now.
| |
V |
W |
X |
| Before |
4 u |
3 u |
3 u + 129 |
| Change |
- 2 u |
+ 6 u |
- 129 |
| After |
2 u |
9 u |
3 u |
Volume of water in Bottle V at first before Jack poured out half the volume
= 2 x 2 u
= 4 u
Volume of water in Bottle W at first before Jack tripled the volume
= 9 u ÷ 3
= 3 u
Volume of water in Bottle W at first before Jack poured out 129 mℓ of water
= 3 u + 129
Total volume of water in the three bottles at first
= 4 u + 3 u + 3 u + 129
= 10 u + 129
10 u + 129 = 249
10 u = 249 - 129
10 u = 120
1 u = 120 ÷ 10 = 12
Total volume of water in the three bottles now
= 2 u + 9 u + 3 u
= 14 u
= 14 x 12
= 168 mℓ
Answer(s): 168 mℓ
