Barrel F and Barrel G had some syrup in the ratio 9 : 5. After 22 litres of syrup was transferred from Barrel F to Barrel G, the volume of syrup in Barrel G became 3 times as much as in Barrel F. How much syrup were there in the two barrels in all?
| |
Barrel F |
Barrel G |
Total |
Before |
9x2 =
18 u |
5x2 =
10 u |
14x2 =
28 u |
| Change |
- 22 |
+ 22 |
|
After |
1x7 =
7 u |
3x7 =
21 u |
4x7 =
28 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 4 and 14 is 28.
Amount of syrup transferred from Barrel F to Barrel G
= 18 u - 7 u
= 11 u
11 u = 22
1 u = 22 ÷ 11 = 2
Total volume of syrup in two barrels
= 28 u
= 28 x 2
= 56 ℓ
Answer(s): 56 ℓ
