The total volume of water in Watering Can E, Watering Can F and Watering Can G was 119 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 56 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 2 : 3 : 4. Find the total volume of water in the three watering cans now.
| |
E |
F |
G |
| Before |
4 u |
1 u |
4 u + 56 |
| Change |
- 2 u |
+ 2 u |
- 56 |
| After |
2 u |
3 u |
4 u |
Volume of water in Watering Can E at first before Paul poured out half the volume
= 2 x 2 u
= 4 u
Volume of water in Watering Can F at first before Paul tripled the volume
= 3 u ÷ 3
= 1 u
Volume of water in Watering Can F at first before Paul poured out 56 mℓ of water
= 4 u + 56
Total volume of water in the three watering cans at first
= 4 u + 1 u + 4 u + 56
= 9 u + 56
9 u + 56 = 119
9 u = 119 - 56
9 u = 63
1 u = 63 ÷ 9 = 7
Total volume of water in the three watering cans now
= 2 u + 3 u + 4 u
= 9 u
= 9 x 7
= 63 mℓ
Answer(s): 63 mℓ
