Barrel H and Barrel J had some syrup in the ratio 9 : 5. After 26 litres of syrup was transferred from Barrel H to Barrel J, the volume of syrup in Barrel J became 2 times as much as in Barrel H. How much syrup were there in the two barrels in all?
| |
Barrel H |
Barrel J |
Total |
Before |
9x3 =
27 u |
5x3 =
15 u |
14x3 =
42 u |
| Change |
- 26 |
+ 26 |
|
After |
1x14 =
14 u |
2x14 =
28 u |
3x14 =
42 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 3 and 14 is 42.
Amount of syrup transferred from Barrel H to Barrel J
= 27 u - 14 u
= 13 u
13 u = 26
1 u = 26 ÷ 13 = 2
Total volume of syrup in two barrels
= 42 u
= 42 x 2
= 84 ℓ
Answer(s): 84 ℓ
