The total volume of water in Watering Can F, Watering Can G and Watering Can H was 206 mℓ. Ian poured out half the volume of water from Watering Can F, tripled the amount of water in Watering Can G and poured out 54 mℓ of water from Watering Can H. The ratio of the volume of water in Watering Can F to Watering Can G to Watering Can H is now 1 : 6 : 4. Find the total volume of water in the three watering cans now.
| |
F |
G |
H |
| Before |
2 u |
2 u |
4 u + 54 |
| Change |
- 1 u |
+ 4 u |
- 54 |
| After |
1 u |
6 u |
4 u |
Volume of water in Watering Can F at first before Sam poured out half the volume
= 2 x 1 u
= 2 u
Volume of water in Watering Can G at first before Sam tripled the volume
= 6 u ÷ 3
= 2 u
Volume of water in Watering Can G at first before Sam poured out 54 mℓ of water
= 4 u + 54
Total volume of water in the three watering cans at first
= 2 u + 2 u + 4 u + 54
= 8 u + 54
8 u + 54 = 206
8 u = 206 - 54
8 u = 152
1 u = 152 ÷ 8 = 19
Total volume of water in the three watering cans now
= 1 u + 6 u + 4 u
= 11 u
= 11 x 19
= 209 mℓ
Answer(s): 209 mℓ
