The total volume of water in Watering Can G, Watering Can H and Watering Can J was 171 mℓ. Ian poured out half the volume of water from Watering Can G, tripled the amount of water in Watering Can H and poured out 67 mℓ of water from Watering Can J. The ratio of the volume of water in Watering Can G to Watering Can H to Watering Can J is now 2 : 3 : 8. Find the total volume of water in the three watering cans now.
| |
G |
H |
J |
| Before |
4 u |
1 u |
8 u + 67 |
| Change |
- 2 u |
+ 2 u |
- 67 |
| After |
2 u |
3 u |
8 u |
Volume of water in Watering Can G at first before Jeremy poured out half the volume
= 2 x 2 u
= 4 u
Volume of water in Watering Can H at first before Jeremy tripled the volume
= 3 u ÷ 3
= 1 u
Volume of water in Watering Can H at first before Jeremy poured out 67 mℓ of water
= 8 u + 67
Total volume of water in the three watering cans at first
= 4 u + 1 u + 8 u + 67
= 13 u + 67
13 u + 67 = 171
13 u = 171 - 67
13 u = 104
1 u = 104 ÷ 13 = 8
Total volume of water in the three watering cans now
= 2 u + 3 u + 8 u
= 13 u
= 13 x 8
= 104 mℓ
Answer(s): 104 mℓ
