Barrel D and Barrel E had some maple syrup in the ratio 7 : 5. After 36 litres of maple syrup was transferred from Barrel D to Barrel E, the volume of maple syrup in Barrel E became 2 times as much as in Barrel D. How much maple syrup were there in the two barrels in all?
| |
Barrel D |
Barrel E |
Total |
Before |
7x1 =
7 u |
5x1 =
5 u |
12x1 =
12 u |
| Change |
- 36 |
+ 36 |
|
After |
1x4 =
4 u |
2x4 =
8 u |
3x4 =
12 u |
The total volume of maple syrup in the barrels remained unchanged. Make the total volume at first and in the end the same. LCM of 3 and 12 is 12.
Amount of maple syrup transferred from Barrel D to Barrel E
= 7 u - 4 u
= 3 u
3 u = 36
1 u = 36 ÷ 3 = 12
Total volume of maple syrup in two barrels
= 12 u
= 12 x 12
= 144 ℓ
Answer(s): 144 ℓ
