Barrel D and Barrel E had some wine in the ratio 7 : 4. After 24 litres of wine was transferred from Barrel D to Barrel E, the volume of wine in Barrel E became 4 times as much as in Barrel D. How much wine were there in the two barrels in all?
| |
Barrel D |
Barrel E |
Total |
Before |
7x5 =
35 u |
4x5 =
20 u |
11x5 =
55 u |
| Change |
- 24 |
+ 24 |
|
After |
1x11 =
11 u |
4x11 =
44 u |
5x11 =
55 u |
The total volume of wine in the barrels remained unchanged. Make the total volume at first and in the end the same. LCM of 5 and 11 is 55.
Amount of wine transferred from Barrel D to Barrel E
= 35 u - 11 u
= 24 u
24 u = 24
1 u = 24 ÷ 24 = 1
Total volume of wine in two barrels
= 55 u
= 55 x 1
= 55 ℓ
Answer(s): 55 ℓ
