The total volume of water in Watering Can D, Watering Can E and Watering Can F was 146 mℓ. Ian poured out half the volume of water from Watering Can D, doubled the amount of water in Watering Can E and added 109 mℓ of water into Watering Can F. The ratio of the volume of water in Watering Can D to Watering Can E to Watering Can F is now 3 : 10 : 4. Find the total volume of water in the three watering cans now.
| |
D |
E |
F |
| Before |
6 u |
5 u |
4 u - 109 |
| Change |
- 3 u |
+ 5 u |
+ 109 |
| After |
3 u |
10 u |
4 u |
Volume of water in Watering Can D at first before Caden poured out half the volume
= 2 x 3 u
= 6 u
Volume of water in Watering Can E at first before Caden doubled the volume
= 10 u ÷ 2
= 5 u
Volume of water in Watering Can E at first before Caden added 109 mℓ of water
= 4 u - 109
Total volume of water in the three watering cans at first
= 6 u + 5 u + 4 u - 109
= 15 u - 109
15 u - 109 = 146
15 u = 146 + 109
15 u = 255
1 u = 255 ÷ 15 = 17
Total volume of water in the three watering cans now
= 3 u + 10 u + 4 u
= 17 u
= 17 x 17
= 289 mℓ
Answer(s): 289 mℓ
