The total volume of water in Bottle G, Bottle H and Bottle J was 356 mℓ. Ian poured out half the volume of water from Bottle G, tripled the amount of water in Bottle H and poured out 147 mℓ of water from Bottle J. The ratio of the volume of water in Bottle G to Bottle H to Bottle J is now 1 : 9 : 6. Find the total volume of water in the three bottles now.
|
G |
H |
J |
Before |
2 u |
3 u |
6 u + 147 |
Change |
- 1 u |
+ 6 u |
- 147 |
After |
1 u |
9 u |
6 u |
Volume of water in Bottle G at first before Albert poured out half the volume
= 2 x 1 u
= 2 u
Volume of water in Bottle H at first before Albert tripled the volume
= 9 u ÷ 3
= 3 u
Volume of water in Bottle H at first before Albert poured out 147 mℓ of water
= 6 u + 147
Total volume of water in the three bottles at first
= 2 u + 3 u + 6 u + 147
= 11 u + 147
11 u + 147 = 356
11 u = 356 - 147
11 u = 209
1 u = 209 ÷ 11 = 19
Total volume of water in the three bottles now
= 1 u + 9 u + 6 u
= 16 u
= 16 x 19
= 304 mℓ
Answer(s): 304 mℓ