The total volume of water in Bottle U, Bottle V and Bottle W was 173 mℓ. Ian poured out half the volume of water from Bottle U, tripled the amount of water in Bottle V and poured out 53 mℓ of water from Bottle W. The ratio of the volume of water in Bottle U to Bottle V to Bottle W is now 2 : 3 : 3. Find the total volume of water in the three bottles now.
| |
U |
V |
W |
| Before |
4 u |
1 u |
3 u + 53 |
| Change |
- 2 u |
+ 2 u |
- 53 |
| After |
2 u |
3 u |
3 u |
Volume of water in Bottle U at first before Cody poured out half the volume
= 2 x 2 u
= 4 u
Volume of water in Bottle V at first before Cody tripled the volume
= 3 u ÷ 3
= 1 u
Volume of water in Bottle V at first before Cody poured out 53 mℓ of water
= 3 u + 53
Total volume of water in the three bottles at first
= 4 u + 1 u + 3 u + 53
= 8 u + 53
8 u + 53 = 173
8 u = 173 - 53
8 u = 120
1 u = 120 ÷ 8 = 15
Total volume of water in the three bottles now
= 2 u + 3 u + 3 u
= 8 u
= 8 x 15
= 120 mℓ
Answer(s): 120 mℓ
