The total volume of water in Bottle D, Bottle E and Bottle F was 22 mℓ. Ian poured out half the volume of water from Bottle D, doubled the amount of water in Bottle E and added 56 mℓ of water into Bottle F. The ratio of the volume of water in Bottle D to Bottle E to Bottle F is now 3 : 10 : 2. Find the total volume of water in the three bottles now.
| |
D |
E |
F |
| Before |
6 u |
5 u |
2 u - 56 |
| Change |
- 3 u |
+ 5 u |
+ 56 |
| After |
3 u |
10 u |
2 u |
Volume of water in Bottle D at first before Albert poured out half the volume
= 2 x 3 u
= 6 u
Volume of water in Bottle E at first before Albert doubled the volume
= 10 u ÷ 2
= 5 u
Volume of water in Bottle E at first before Albert added 56 mℓ of water
= 2 u - 56
Total volume of water in the three bottles at first
= 6 u + 5 u + 2 u - 56
= 13 u - 56
13 u - 56 = 22
13 u = 22 + 56
13 u = 78
1 u = 78 ÷ 13 = 6
Total volume of water in the three bottles now
= 3 u + 10 u + 2 u
= 15 u
= 15 x 6
= 90 mℓ
Answer(s): 90 mℓ
