The total volume of water in Watering Can F, Watering Can G and Watering Can H was 415 mℓ. Ian poured out half the volume of water from Watering Can F, tripled the amount of water in Watering Can G and poured out 79 mℓ of water from Watering Can H. The ratio of the volume of water in Watering Can F to Watering Can G to Watering Can H is now 5 : 9 : 8. Find the total volume of water in the three watering cans now.
| |
F |
G |
H |
| Before |
10 u |
3 u |
8 u + 79 |
| Change |
- 5 u |
+ 6 u |
- 79 |
| After |
5 u |
9 u |
8 u |
Volume of water in Watering Can F at first before Reggie poured out half the volume
= 2 x 5 u
= 10 u
Volume of water in Watering Can G at first before Reggie tripled the volume
= 9 u ÷ 3
= 3 u
Volume of water in Watering Can G at first before Reggie poured out 79 mℓ of water
= 8 u + 79
Total volume of water in the three watering cans at first
= 10 u + 3 u + 8 u + 79
= 21 u + 79
21 u + 79 = 415
21 u = 415 - 79
21 u = 336
1 u = 336 ÷ 21 = 16
Total volume of water in the three watering cans now
= 5 u + 9 u + 8 u
= 22 u
= 22 x 16
= 352 mℓ
Answer(s): 352 mℓ
