The total volume of water in Bottle H, Bottle J and Bottle K was 246 mℓ. Ian poured out half the volume of water from Bottle H, tripled the amount of water in Bottle J and poured out 102 mℓ of water from Bottle K. The ratio of the volume of water in Bottle H to Bottle J to Bottle K is now 3 : 3 : 2. Find the total volume of water in the three bottles now.
| |
H |
J |
K |
| Before |
6 u |
1 u |
2 u + 102 |
| Change |
- 3 u |
+ 2 u |
- 102 |
| After |
3 u |
3 u |
2 u |
Volume of water in Bottle H at first before Archie poured out half the volume
= 2 x 3 u
= 6 u
Volume of water in Bottle J at first before Archie tripled the volume
= 3 u ÷ 3
= 1 u
Volume of water in Bottle J at first before Archie poured out 102 mℓ of water
= 2 u + 102
Total volume of water in the three bottles at first
= 6 u + 1 u + 2 u + 102
= 9 u + 102
9 u + 102 = 246
9 u = 246 - 102
9 u = 144
1 u = 144 ÷ 9 = 16
Total volume of water in the three bottles now
= 3 u + 3 u + 2 u
= 8 u
= 8 x 16
= 128 mℓ
Answer(s): 128 mℓ
