Barrel J and Barrel K had some detergent in the ratio 9 : 5. After 31 litres of detergent was transferred from Barrel J to Barrel K, the volume of detergent in Barrel K became 4 times as much as in Barrel J. How much detergent were there in the two barrels in all?
| |
Barrel J |
Barrel K |
Total |
Before |
9x5 =
45 u |
5x5 =
25 u |
14x5 =
70 u |
| Change |
- 31 |
+ 31 |
|
After |
1x14 =
14 u |
4x14 =
56 u |
5x14 =
70 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 5 and 14 is 70.
Amount of detergent transferred from Barrel J to Barrel K
= 45 u - 14 u
= 31 u
31 u = 31
1 u = 31 ÷ 31 = 1
Total volume of detergent in two barrels
= 70 u
= 70 x 1
= 70 ℓ
Answer(s): 70 ℓ
