The total volume of water in Watering Can F, Watering Can G and Watering Can H was 76 mℓ. Ian poured out half the volume of water from Watering Can F, doubled the amount of water in Watering Can G and added 122 mℓ of water into Watering Can H. The ratio of the volume of water in Watering Can F to Watering Can G to Watering Can H is now 10 : 8 : 9. Find the total volume of water in the three watering cans now.
| |
F |
G |
H |
| Before |
20 u |
4 u |
9 u - 122 |
| Change |
- 10 u |
+ 4 u |
+ 122 |
| After |
10 u |
8 u |
9 u |
Volume of water in Watering Can F at first before Charlie poured out half the volume
= 2 x 10 u
= 20 u
Volume of water in Watering Can G at first before Charlie doubled the volume
= 8 u ÷ 2
= 4 u
Volume of water in Watering Can G at first before Charlie added 122 mℓ of water
= 9 u - 122
Total volume of water in the three watering cans at first
= 20 u + 4 u + 9 u - 122
= 33 u - 122
33 u - 122 = 76
33 u = 76 + 122
33 u = 198
1 u = 198 ÷ 33 = 6
Total volume of water in the three watering cans now
= 10 u + 8 u + 9 u
= 27 u
= 27 x 6
= 162 mℓ
Answer(s): 162 mℓ
