The total volume of water in Watering Can G, Watering Can H and Watering Can J was 243 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 129 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 6 : 9 : 4. Find the total volume of water in the three watering cans now.
| |
G |
H |
J |
| Before |
12 u |
3 u |
4 u + 129 |
| Change |
- 6 u |
+ 6 u |
- 129 |
| After |
6 u |
9 u |
4 u |
Volume of water in Watering Can G at first before Wesley poured out half the volume
= 2 x 6 u
= 12 u
Volume of water in Watering Can H at first before Wesley tripled the volume
= 9 u ÷ 3
= 3 u
Volume of water in Watering Can H at first before Wesley poured out 129 mℓ of water
= 4 u + 129
Total volume of water in the three watering cans at first
= 12 u + 3 u + 4 u + 129
= 19 u + 129
19 u + 129 = 243
19 u = 243 - 129
19 u = 114
1 u = 114 ÷ 19 = 6
Total volume of water in the three watering cans now
= 6 u + 9 u + 4 u
= 19 u
= 19 x 6
= 114 mℓ
Answer(s): 114 mℓ
