The total volume of water in Bottle B, Bottle C and Bottle D was 157 mℓ. Ian poured out half the volume of water from Bottle B, doubled the amount of water in Bottle C and added 81 mℓ of water into Bottle D. The ratio of the volume of water in Bottle B to Bottle C to Bottle D is now 3 : 8 : 4. Find the total volume of water in the three bottles now.
|
B |
C |
D |
Before |
6 u |
4 u |
4 u - 81 |
Change |
- 3 u |
+ 4 u |
+ 81 |
After |
3 u |
8 u |
4 u |
Volume of water in Bottle B at first before Ivan poured out half the volume
= 2 x 3 u
= 6 u
Volume of water in Bottle C at first before Ivan doubled the volume
= 8 u ÷ 2
= 4 u
Volume of water in Bottle C at first before Ivan added 81 mℓ of water
= 4 u - 81
Total volume of water in the three bottles at first
= 6 u + 4 u + 4 u - 81
= 14 u - 81
14 u - 81 = 157
14 u = 157 + 81
14 u = 238
1 u = 238 ÷ 14 = 17
Total volume of water in the three bottles now
= 3 u + 8 u + 4 u
= 15 u
= 15 x 17
= 255 mℓ
Answer(s): 255 mℓ