The total volume of water in Bottle V, Bottle W and Bottle X was 287 mℓ. Ian poured out half the volume of water from Bottle V, doubled the amount of water in Bottle W and added 138 mℓ of water into Bottle X. The ratio of the volume of water in Bottle V to Bottle W to Bottle X is now 10 : 4 : 3. Find the total volume of water in the three bottles now.
|
V |
W |
X |
Before |
20 u |
2 u |
3 u - 138 |
Change |
- 10 u |
+ 2 u |
+ 138 |
After |
10 u |
4 u |
3 u |
Volume of water in Bottle V at first before Luis poured out half the volume
= 2 x 10 u
= 20 u
Volume of water in Bottle W at first before Luis doubled the volume
= 4 u ÷ 2
= 2 u
Volume of water in Bottle W at first before Luis added 138 mℓ of water
= 3 u - 138
Total volume of water in the three bottles at first
= 20 u + 2 u + 3 u - 138
= 25 u - 138
25 u - 138 = 287
25 u = 287 + 138
25 u = 425
1 u = 425 ÷ 25 = 17
Total volume of water in the three bottles now
= 10 u + 4 u + 3 u
= 17 u
= 17 x 17
= 289 mℓ
Answer(s): 289 mℓ