The total volume of water in Bottle V, Bottle W and Bottle X was 137 mℓ. Ian poured out half the volume of water from Bottle V, doubled the amount of water in Bottle W and added 127 mℓ of water into Bottle X. The ratio of the volume of water in Bottle V to Bottle W to Bottle X is now 8 : 2 : 7. Find the total volume of water in the three bottles now.
| |
V |
W |
X |
| Before |
16 u |
1 u |
7 u - 127 |
| Change |
- 8 u |
+ 1 u |
+ 127 |
| After |
8 u |
2 u |
7 u |
Volume of water in Bottle V at first before David poured out half the volume
= 2 x 8 u
= 16 u
Volume of water in Bottle W at first before David doubled the volume
= 2 u ÷ 2
= 1 u
Volume of water in Bottle W at first before David added 127 mℓ of water
= 7 u - 127
Total volume of water in the three bottles at first
= 16 u + 1 u + 7 u - 127
= 24 u - 127
24 u - 127 = 137
24 u = 137 + 127
24 u = 264
1 u = 264 ÷ 24 = 11
Total volume of water in the three bottles now
= 8 u + 2 u + 7 u
= 17 u
= 17 x 11
= 187 mℓ
Answer(s): 187 mℓ
