The total volume of water in Watering Can B, Watering Can C and Watering Can D was 176 mℓ. Ian poured out half the volume of water from Watering Can B, tripled the amount of water in Watering Can C and poured out 91 mℓ of water from Watering Can D. The ratio of the volume of water in Watering Can B to Watering Can C to Watering Can D is now 6 : 3 : 4. Find the total volume of water in the three watering cans now.
| |
B |
C |
D |
| Before |
12 u |
1 u |
4 u + 91 |
| Change |
- 6 u |
+ 2 u |
- 91 |
| After |
6 u |
3 u |
4 u |
Volume of water in Watering Can B at first before Vaidev poured out half the volume
= 2 x 6 u
= 12 u
Volume of water in Watering Can C at first before Vaidev tripled the volume
= 3 u ÷ 3
= 1 u
Volume of water in Watering Can C at first before Vaidev poured out 91 mℓ of water
= 4 u + 91
Total volume of water in the three watering cans at first
= 12 u + 1 u + 4 u + 91
= 17 u + 91
17 u + 91 = 176
17 u = 176 - 91
17 u = 85
1 u = 85 ÷ 17 = 5
Total volume of water in the three watering cans now
= 6 u + 3 u + 4 u
= 13 u
= 13 x 5
= 65 mℓ
Answer(s): 65 mℓ
