The total volume of water in Watering Can W, Watering Can X and Watering Can Y was 417 mℓ. Ian poured out half the volume of water from Watering Can W, tripled the amount of water in Watering Can X and poured out 147 mℓ of water from Watering Can Y. The ratio of the volume of water in Watering Can W to Watering Can X to Watering Can Y is now 6 : 6 : 1. Find the total volume of water in the three watering cans now.
| |
W |
X |
Y |
| Before |
12 u |
2 u |
1 u + 147 |
| Change |
- 6 u |
+ 4 u |
- 147 |
| After |
6 u |
6 u |
1 u |
Volume of water in Watering Can W at first before Gabriel poured out half the volume
= 2 x 6 u
= 12 u
Volume of water in Watering Can X at first before Gabriel tripled the volume
= 6 u ÷ 3
= 2 u
Volume of water in Watering Can X at first before Gabriel poured out 147 mℓ of water
= 1 u + 147
Total volume of water in the three watering cans at first
= 12 u + 2 u + 1 u + 147
= 15 u + 147
15 u + 147 = 417
15 u = 417 - 147
15 u = 270
1 u = 270 ÷ 15 = 18
Total volume of water in the three watering cans now
= 6 u + 6 u + 1 u
= 13 u
= 13 x 18
= 234 mℓ
Answer(s): 234 mℓ
