The total volume of water in Watering Can E, Watering Can F and Watering Can G was 150 mℓ. Ian poured out half the volume of water from Watering Can E, tripled the amount of water in Watering Can F and poured out 55 mℓ of water from Watering Can G. The ratio of the volume of water in Watering Can E to Watering Can F to Watering Can G is now 1 : 6 : 1. Find the total volume of water in the three watering cans now.
| |
E |
F |
G |
| Before |
2 u |
2 u |
1 u + 55 |
| Change |
- 1 u |
+ 4 u |
- 55 |
| After |
1 u |
6 u |
1 u |
Volume of water in Watering Can E at first before Harry poured out half the volume
= 2 x 1 u
= 2 u
Volume of water in Watering Can F at first before Harry tripled the volume
= 6 u ÷ 3
= 2 u
Volume of water in Watering Can F at first before Harry poured out 55 mℓ of water
= 1 u + 55
Total volume of water in the three watering cans at first
= 2 u + 2 u + 1 u + 55
= 5 u + 55
5 u + 55 = 150
5 u = 150 - 55
5 u = 95
1 u = 95 ÷ 5 = 19
Total volume of water in the three watering cans now
= 1 u + 6 u + 1 u
= 8 u
= 8 x 19
= 152 mℓ
Answer(s): 152 mℓ
