The total volume of water in Bottle H, Bottle J and Bottle K was 183 mℓ. Ian poured out half the volume of water from Bottle H, doubled the amount of water in Bottle J and added 129 mℓ of water into Bottle K. The ratio of the volume of water in Bottle H to Bottle J to Bottle K is now 7 : 8 : 6. Find the total volume of water in the three bottles now.
| |
H |
J |
K |
| Before |
14 u |
4 u |
6 u - 129 |
| Change |
- 7 u |
+ 4 u |
+ 129 |
| After |
7 u |
8 u |
6 u |
Volume of water in Bottle H at first before Simon poured out half the volume
= 2 x 7 u
= 14 u
Volume of water in Bottle J at first before Simon doubled the volume
= 8 u ÷ 2
= 4 u
Volume of water in Bottle J at first before Simon added 129 mℓ of water
= 6 u - 129
Total volume of water in the three bottles at first
= 14 u + 4 u + 6 u - 129
= 24 u - 129
24 u - 129 = 183
24 u = 183 + 129
24 u = 312
1 u = 312 ÷ 24 = 13
Total volume of water in the three bottles now
= 7 u + 8 u + 6 u
= 21 u
= 21 x 13
= 273 mℓ
Answer(s): 273 mℓ
