The total volume of water in Watering Can U, Watering Can V and Watering Can W was 179 mℓ. Ian poured out half the volume of water from Watering Can U, tripled the amount of water in Watering Can V and poured out 60 mℓ of water from Watering Can W. The ratio of the volume of water in Watering Can U to Watering Can V to Watering Can W is now 2 : 3 : 2. Find the total volume of water in the three watering cans now.
| |
U |
V |
W |
| Before |
4 u |
1 u |
2 u + 60 |
| Change |
- 2 u |
+ 2 u |
- 60 |
| After |
2 u |
3 u |
2 u |
Volume of water in Watering Can U at first before Jeremy poured out half the volume
= 2 x 2 u
= 4 u
Volume of water in Watering Can V at first before Jeremy tripled the volume
= 3 u ÷ 3
= 1 u
Volume of water in Watering Can V at first before Jeremy poured out 60 mℓ of water
= 2 u + 60
Total volume of water in the three watering cans at first
= 4 u + 1 u + 2 u + 60
= 7 u + 60
7 u + 60 = 179
7 u = 179 - 60
7 u = 119
1 u = 119 ÷ 7 = 17
Total volume of water in the three watering cans now
= 2 u + 3 u + 2 u
= 7 u
= 7 x 17
= 119 mℓ
Answer(s): 119 mℓ
