The total volume of water in Bottle A, Bottle B and Bottle C was 360 mℓ. Ian poured out half the volume of water from Bottle A, tripled the amount of water in Bottle B and poured out 100 mℓ of water from Bottle C. The ratio of the volume of water in Bottle A to Bottle B to Bottle C is now 4 : 9 : 9. Find the total volume of water in the three bottles now.
| |
A |
B |
C |
| Before |
8 u |
3 u |
9 u + 100 |
| Change |
- 4 u |
+ 6 u |
- 100 |
| After |
4 u |
9 u |
9 u |
Volume of water in Bottle A at first before Tom poured out half the volume
= 2 x 4 u
= 8 u
Volume of water in Bottle B at first before Tom tripled the volume
= 9 u ÷ 3
= 3 u
Volume of water in Bottle B at first before Tom poured out 100 mℓ of water
= 9 u + 100
Total volume of water in the three bottles at first
= 8 u + 3 u + 9 u + 100
= 20 u + 100
20 u + 100 = 360
20 u = 360 - 100
20 u = 260
1 u = 260 ÷ 20 = 13
Total volume of water in the three bottles now
= 4 u + 9 u + 9 u
= 22 u
= 22 x 13
= 286 mℓ
Answer(s): 286 mℓ
