The total volume of water in Bottle A, Bottle B and Bottle C was 302 mℓ. Ian poured out half the volume of water from Bottle A, tripled the amount of water in Bottle B and poured out 110 mℓ of water from Bottle C. The ratio of the volume of water in Bottle A to Bottle B to Bottle C is now 2 : 9 : 5. Find the total volume of water in the three bottles now.
| |
A |
B |
C |
| Before |
4 u |
3 u |
5 u + 110 |
| Change |
- 2 u |
+ 6 u |
- 110 |
| After |
2 u |
9 u |
5 u |
Volume of water in Bottle A at first before Mark poured out half the volume
= 2 x 2 u
= 4 u
Volume of water in Bottle B at first before Mark tripled the volume
= 9 u ÷ 3
= 3 u
Volume of water in Bottle B at first before Mark poured out 110 mℓ of water
= 5 u + 110
Total volume of water in the three bottles at first
= 4 u + 3 u + 5 u + 110
= 12 u + 110
12 u + 110 = 302
12 u = 302 - 110
12 u = 192
1 u = 192 ÷ 12 = 16
Total volume of water in the three bottles now
= 2 u + 9 u + 5 u
= 16 u
= 16 x 16
= 256 mℓ
Answer(s): 256 mℓ
