The total volume of water in Watering Can W, Watering Can X and Watering Can Y was 249 mℓ. Ian poured out half the volume of water from Watering Can W, doubled the amount of water in Watering Can X and added 150 mℓ of water into Watering Can Y. The ratio of the volume of water in Watering Can W to Watering Can X to Watering Can Y is now 8 : 4 : 3. Find the total volume of water in the three watering cans now.
| |
W |
X |
Y |
| Before |
16 u |
2 u |
3 u - 150 |
| Change |
- 8 u |
+ 2 u |
+ 150 |
| After |
8 u |
4 u |
3 u |
Volume of water in Watering Can W at first before Peter poured out half the volume
= 2 x 8 u
= 16 u
Volume of water in Watering Can X at first before Peter doubled the volume
= 4 u ÷ 2
= 2 u
Volume of water in Watering Can X at first before Peter added 150 mℓ of water
= 3 u - 150
Total volume of water in the three watering cans at first
= 16 u + 2 u + 3 u - 150
= 21 u - 150
21 u - 150 = 249
21 u = 249 + 150
21 u = 399
1 u = 399 ÷ 21 = 19
Total volume of water in the three watering cans now
= 8 u + 4 u + 3 u
= 15 u
= 15 x 19
= 285 mℓ
Answer(s): 285 mℓ
