The total volume of water in Bottle G, Bottle H and Bottle J was 219 mℓ. Ian poured out half the volume of water from Bottle G, tripled the amount of water in Bottle H and poured out 149 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 : 3 : 7. Find the total volume of water in the three bottles now.
|
G |
H |
J |
Before |
2 u |
1 u |
7 u + 149 |
Change |
- 1 u |
+ 2 u |
- 149 |
After |
1 u |
3 u |
7 u |
Volume of water in Bottle G at first before Oliver poured out half the volume
= 2 x 1 u
= 2 u
Volume of water in Bottle H at first before Oliver tripled the volume
= 3 u ÷ 3
= 1 u
Volume of water in Bottle H at first before Oliver poured out 149 mℓ of water
= 7 u + 149
Total volume of water in the three bottles at first
= 2 u + 1 u + 7 u + 149
= 10 u + 149
10 u + 149 = 219
10 u = 219 - 149
10 u = 70
1 u = 70 ÷ 10 = 7
Total volume of water in the three bottles now
= 1 u + 3 u + 7 u
= 11 u
= 11 x 7
= 77 mℓ
Answer(s): 77 mℓ