The total volume of water in Watering Can T, Watering Can U and Watering Can V was 232 mℓ. Ian poured out half the volume of water from Watering Can T, doubled the amount of water in Watering Can U and added 108 mℓ of water into Watering Can V. The ratio of the volume of water in Watering Can T to Watering Can U to Watering Can V is now 7 : 6 : 3. Find the total volume of water in the three watering cans now.
| |
T |
U |
V |
| Before |
14 u |
3 u |
3 u - 108 |
| Change |
- 7 u |
+ 3 u |
+ 108 |
| After |
7 u |
6 u |
3 u |
Volume of water in Watering Can T at first before Vincent poured out half the volume
= 2 x 7 u
= 14 u
Volume of water in Watering Can U at first before Vincent doubled the volume
= 6 u ÷ 2
= 3 u
Volume of water in Watering Can U at first before Vincent added 108 mℓ of water
= 3 u - 108
Total volume of water in the three watering cans at first
= 14 u + 3 u + 3 u - 108
= 20 u - 108
20 u - 108 = 232
20 u = 232 + 108
20 u = 340
1 u = 340 ÷ 20 = 17
Total volume of water in the three watering cans now
= 7 u + 6 u + 3 u
= 16 u
= 16 x 17
= 272 mℓ
Answer(s): 272 mℓ
