The total volume of water in Bottle G, Bottle H and Bottle J was 291 mℓ. Ian poured out half the volume of water from Bottle G, tripled the amount of water in Bottle H and poured out 70 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 : 6 : 5. Find the total volume of water in the three bottles now.
|
G |
H |
J |
Before |
6 u |
2 u |
5 u + 70 |
Change |
- 3 u |
+ 4 u |
- 70 |
After |
3 u |
6 u |
5 u |
Volume of water in Bottle G at first before Andy poured out half the volume
= 2 x 3 u
= 6 u
Volume of water in Bottle H at first before Andy tripled the volume
= 6 u ÷ 3
= 2 u
Volume of water in Bottle H at first before Andy poured out 70 mℓ of water
= 5 u + 70
Total volume of water in the three bottles at first
= 6 u + 2 u + 5 u + 70
= 13 u + 70
13 u + 70 = 291
13 u = 291 - 70
13 u = 221
1 u = 221 ÷ 13 = 17
Total volume of water in the three bottles now
= 3 u + 6 u + 5 u
= 14 u
= 14 x 17
= 238 mℓ
Answer(s): 238 mℓ