The total volume of water in Watering Can R, Watering Can S and Watering Can T was 194 mℓ. Ian poured out half the volume of water from Watering Can R, doubled the amount of water in Watering Can S and added 129 mℓ of water into Watering Can T. The ratio of the volume of water in Watering Can R to Watering Can S to Watering Can T is now 5 : 6 : 6. Find the total volume of water in the three watering cans now.
| |
R |
S |
T |
| Before |
10 u |
3 u |
6 u - 129 |
| Change |
- 5 u |
+ 3 u |
+ 129 |
| After |
5 u |
6 u |
6 u |
Volume of water in Watering Can R at first before Justin poured out half the volume
= 2 x 5 u
= 10 u
Volume of water in Watering Can S at first before Justin doubled the volume
= 6 u ÷ 2
= 3 u
Volume of water in Watering Can S at first before Justin added 129 mℓ of water
= 6 u - 129
Total volume of water in the three watering cans at first
= 10 u + 3 u + 6 u - 129
= 19 u - 129
19 u - 129 = 194
19 u = 194 + 129
19 u = 323
1 u = 323 ÷ 19 = 17
Total volume of water in the three watering cans now
= 5 u + 6 u + 6 u
= 17 u
= 17 x 17
= 289 mℓ
Answer(s): 289 mℓ
