Barrel E and Barrel F had some detergent in the ratio 7 : 5. After 42 litres of detergent was transferred from Barrel E to Barrel F, the volume of detergent in Barrel F became 2 times as much as in Barrel E. How much detergent were there in the two barrels in all?
| |
Barrel E |
Barrel F |
Total |
Before |
7x1 =
7 u |
5x1 =
5 u |
12x1 =
12 u |
| Change |
- 42 |
+ 42 |
|
After |
1x4 =
4 u |
2x4 =
8 u |
3x4 =
12 u |
The total volume of detergent 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 detergent transferred from Barrel E to Barrel F
= 7 u - 4 u
= 3 u
3 u = 42
1 u = 42 ÷ 3 = 14
Total volume of detergent in two barrels
= 12 u
= 12 x 14
= 168 ℓ
Answer(s): 168 ℓ
