The total volume of water in Watering Can C, Watering Can D and Watering Can E was 183 mℓ. Ian poured out half the volume of water from Watering Can C, doubled the amount of water in Watering Can D and added 72 mℓ of water into Watering Can E. The ratio of the volume of water in Watering Can C to Watering Can D to Watering Can E is now 6 : 4 : 3. Find the total volume of water in the three watering cans now.
|
C |
D |
E |
Before |
12 u |
2 u |
3 u - 72 |
Change |
- 6 u |
+ 2 u |
+ 72 |
After |
6 u |
4 u |
3 u |
Volume of water in Watering Can C at first before Warren poured out half the volume
= 2 x 6 u
= 12 u
Volume of water in Watering Can D at first before Warren doubled the volume
= 4 u ÷ 2
= 2 u
Volume of water in Watering Can D at first before Warren added 72 mℓ of water
= 3 u - 72
Total volume of water in the three watering cans at first
= 12 u + 2 u + 3 u - 72
= 17 u - 72
17 u - 72 = 183
17 u = 183 + 72
17 u = 255
1 u = 255 ÷ 17 = 15
Total volume of water in the three watering cans now
= 6 u + 4 u + 3 u
= 13 u
= 13 x 15
= 195 mℓ
Answer(s): 195 mℓ