The total volume of water in Bottle V, Bottle W and Bottle X was 389 mℓ. Ian poured out half the volume of water from Bottle V, tripled the amount of water in Bottle W and poured out 66 mℓ of water from Bottle X. The ratio of the volume of water in Bottle V to Bottle W to Bottle X is now 5 : 3 : 6. Find the total volume of water in the three bottles now.
| |
V |
W |
X |
| Before |
10 u |
1 u |
6 u + 66 |
| Change |
- 5 u |
+ 2 u |
- 66 |
| After |
5 u |
3 u |
6 u |
Volume of water in Bottle V at first before Oliver poured out half the volume
= 2 x 5 u
= 10 u
Volume of water in Bottle W at first before Oliver tripled the volume
= 3 u ÷ 3
= 1 u
Volume of water in Bottle W at first before Oliver poured out 66 mℓ of water
= 6 u + 66
Total volume of water in the three bottles at first
= 10 u + 1 u + 6 u + 66
= 17 u + 66
17 u + 66 = 389
17 u = 389 - 66
17 u = 323
1 u = 323 ÷ 17 = 19
Total volume of water in the three bottles now
= 5 u + 3 u + 6 u
= 14 u
= 14 x 19
= 266 mℓ
Answer(s): 266 mℓ
