The total volume of water in Watering Can G, Watering Can H and Watering Can J was 5 mℓ. Ian poured out half the volume of water from Watering Can G, doubled the amount of water in Watering Can H and added 97 mℓ of water into Watering Can J. The ratio of the volume of water in Watering Can G to Watering Can H to Watering Can J is now 1 : 2 : 3. Find the total volume of water in the three watering cans now.
| |
G |
H |
J |
| Before |
2 u |
1 u |
3 u - 97 |
| Change |
- 1 u |
+ 1 u |
+ 97 |
| After |
1 u |
2 u |
3 u |
Volume of water in Watering Can G at first before Michael poured out half the volume
= 2 x 1 u
= 2 u
Volume of water in Watering Can H at first before Michael doubled the volume
= 2 u ÷ 2
= 1 u
Volume of water in Watering Can H at first before Michael added 97 mℓ of water
= 3 u - 97
Total volume of water in the three watering cans at first
= 2 u + 1 u + 3 u - 97
= 6 u - 97
6 u - 97 = 5
6 u = 5 + 97
6 u = 102
1 u = 102 ÷ 6 = 17
Total volume of water in the three watering cans now
= 1 u + 2 u + 3 u
= 6 u
= 6 x 17
= 102 mℓ
Answer(s): 102 mℓ
