The total volume of water in Watering Can D, Watering Can E and Watering Can F was 279 mℓ. Ian poured out half the volume of water from Watering Can D, doubled the amount of water in Watering Can E and added 146 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 10 : 8 : 1. Find the total volume of water in the three watering cans now.
|
D |
E |
F |
Before |
20 u |
4 u |
1 u - 146 |
Change |
- 10 u |
+ 4 u |
+ 146 |
After |
10 u |
8 u |
1 u |
Volume of water in Watering Can D at first before Archie poured out half the volume
= 2 x 10 u
= 20 u
Volume of water in Watering Can E at first before Archie doubled the volume
= 8 u ÷ 2
= 4 u
Volume of water in Watering Can E at first before Archie added 146 mℓ of water
= 1 u - 146
Total volume of water in the three watering cans at first
= 20 u + 4 u + 1 u - 146
= 25 u - 146
25 u - 146 = 279
25 u = 279 + 146
25 u = 425
1 u = 425 ÷ 25 = 17
Total volume of water in the three watering cans now
= 10 u + 8 u + 1 u
= 19 u
= 19 x 17
= 323 mℓ
Answer(s): 323 mℓ