The total volume of water in Watering Can X, Watering Can Y and Watering Can Z was 231 mℓ. Ian poured out half the volume of water from Watering Can X, tripled the amount of water in Watering Can Y and poured out 75 mℓ of water from Watering Can Z. The ratio of the volume of water in Watering Can X to Watering Can Y to Watering Can Z is now 2 : 9 : 6. Find the total volume of water in the three watering cans now.
| |
X |
Y |
Z |
| Before |
4 u |
3 u |
6 u + 75 |
| Change |
- 2 u |
+ 6 u |
- 75 |
| After |
2 u |
9 u |
6 u |
Volume of water in Watering Can X at first before Bobby poured out half the volume
= 2 x 2 u
= 4 u
Volume of water in Watering Can Y at first before Bobby tripled the volume
= 9 u ÷ 3
= 3 u
Volume of water in Watering Can Y at first before Bobby poured out 75 mℓ of water
= 6 u + 75
Total volume of water in the three watering cans at first
= 4 u + 3 u + 6 u + 75
= 13 u + 75
13 u + 75 = 231
13 u = 231 - 75
13 u = 156
1 u = 156 ÷ 13 = 12
Total volume of water in the three watering cans now
= 2 u + 9 u + 6 u
= 17 u
= 17 x 12
= 204 mℓ
Answer(s): 204 mℓ
