Barrel G and Barrel H had some detergent in the ratio 7 : 5. After 28 litres of detergent was transferred from Barrel G to Barrel H, the volume of detergent in Barrel H became 3 times as much as in Barrel G. How much detergent were there in the two barrels in all?
| |
Barrel G |
Barrel H |
Total |
Before |
7x1 =
7 u |
5x1 =
5 u |
12x1 =
12 u |
| Change |
- 28 |
+ 28 |
|
After |
1x3 =
3 u |
3x3 =
9 u |
4x3 =
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 4 and 12 is 12.
Amount of detergent transferred from Barrel G to Barrel H
= 7 u - 3 u
= 4 u
4 u = 28
1 u = 28 ÷ 4 = 7
Total volume of detergent in two barrels
= 12 u
= 12 x 7
= 84 ℓ
Answer(s): 84 ℓ
