The total volume of water in Bottle A, Bottle B and Bottle C was 273 mℓ. Ian poured out half the volume of water from Bottle A, tripled the amount of water in Bottle B and poured out 138 mℓ of water from Bottle C. The ratio of the volume of water in Bottle A to Bottle B to Bottle C is now 3 : 3 : 2. Find the total volume of water in the three bottles now.
| |
A |
B |
C |
| Before |
6 u |
1 u |
2 u + 138 |
| Change |
- 3 u |
+ 2 u |
- 138 |
| After |
3 u |
3 u |
2 u |
Volume of water in Bottle A at first before Warren poured out half the volume
= 2 x 3 u
= 6 u
Volume of water in Bottle B at first before Warren tripled the volume
= 3 u ÷ 3
= 1 u
Volume of water in Bottle B at first before Warren poured out 138 mℓ of water
= 2 u + 138
Total volume of water in the three bottles at first
= 6 u + 1 u + 2 u + 138
= 9 u + 138
9 u + 138 = 273
9 u = 273 - 138
9 u = 135
1 u = 135 ÷ 9 = 15
Total volume of water in the three bottles now
= 3 u + 3 u + 2 u
= 8 u
= 8 x 15
= 120 mℓ
Answer(s): 120 mℓ
