Barrel D and Barrel E had some sauce in the ratio 9 : 5. After 26 litres of sauce was transferred from Barrel D to Barrel E, the volume of sauce in Barrel E became 2 times as much as in Barrel D. How much sauce were there in the two barrels in all?
| |
Barrel D |
Barrel E |
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 sauce 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 sauce transferred from Barrel D to Barrel E
= 27 u - 14 u
= 13 u
13 u = 26
1 u = 26 ÷ 13 = 2
Total volume of sauce in two barrels
= 42 u
= 42 x 2
= 84 ℓ
Answer(s): 84 ℓ
