Barrel E and Barrel F had some syrup in the ratio 7 : 5. After 20 litres of syrup was transferred from Barrel E to Barrel F, the volume of syrup in Barrel F became 5 times as much as in Barrel E. How much syrup were there in the two barrels in all?
| |
Barrel E |
Barrel F |
Total |
Before |
7x1 =
7 u |
5x1 =
5 u |
12x1 =
12 u |
| Change |
- 20 |
+ 20 |
|
After |
1x2 =
2 u |
5x2 =
10 u |
6x2 =
12 u |
The total volume of syrup in the barrels remained unchanged. Make the total volume at first and in the end the same. LCM of 6 and 12 is 12.
Amount of syrup transferred from Barrel E to Barrel F
= 7 u - 2 u
= 5 u
5 u = 20
1 u = 20 ÷ 5 = 4
Total volume of syrup in two barrels
= 12 u
= 12 x 4
= 48 ℓ
Answer(s): 48 ℓ
