The total volume of water in Watering Can J, Watering Can K and Watering Can L was 52 mℓ. Ian poured out half the volume of water from Watering Can J, doubled the amount of water in Watering Can K and added 88 mℓ of water into Watering Can L. The ratio of the volume of water in Watering Can J to Watering Can K to Watering Can L is now 7 : 4 : 4. Find the total volume of water in the three watering cans now.
| |
J |
K |
L |
| Before |
14 u |
2 u |
4 u - 88 |
| Change |
- 7 u |
+ 2 u |
+ 88 |
| After |
7 u |
4 u |
4 u |
Volume of water in Watering Can J at first before Ian poured out half the volume
= 2 x 7 u
= 14 u
Volume of water in Watering Can K at first before Ian doubled the volume
= 4 u ÷ 2
= 2 u
Volume of water in Watering Can K at first before Ian added 88 mℓ of water
= 4 u - 88
Total volume of water in the three watering cans at first
= 14 u + 2 u + 4 u - 88
= 20 u - 88
20 u - 88 = 52
20 u = 52 + 88
20 u = 140
1 u = 140 ÷ 20 = 7
Total volume of water in the three watering cans now
= 7 u + 4 u + 4 u
= 15 u
= 15 x 7
= 105 mℓ
Answer(s): 105 mℓ
