The total volume of water in Bottle G, Bottle H and Bottle J was 195 mℓ. Ian poured out half the volume of water from Bottle G, tripled the amount of water in Bottle H and poured out 105 mℓ of water from Bottle J. The ratio of the volume of water in Bottle G to Bottle H to Bottle J is now 3 : 3 : 2. Find the total volume of water in the three bottles now.
| |
G |
H |
J |
| Before |
6 u |
1 u |
2 u + 105 |
| Change |
- 3 u |
+ 2 u |
- 105 |
| After |
3 u |
3 u |
2 u |
Volume of water in Bottle G at first before Jenson poured out half the volume
= 2 x 3 u
= 6 u
Volume of water in Bottle H at first before Jenson tripled the volume
= 3 u ÷ 3
= 1 u
Volume of water in Bottle H at first before Jenson poured out 105 mℓ of water
= 2 u + 105
Total volume of water in the three bottles at first
= 6 u + 1 u + 2 u + 105
= 9 u + 105
9 u + 105 = 195
9 u = 195 - 105
9 u = 90
1 u = 90 ÷ 9 = 10
Total volume of water in the three bottles now
= 3 u + 3 u + 2 u
= 8 u
= 8 x 10
= 80 mℓ
Answer(s): 80 mℓ
