Barrel X and Barrel Y had some detergent in the ratio 7 : 5. After 23 litres of detergent was transferred from Barrel X to Barrel Y, the volume of detergent in Barrel Y became 4 times as much as in Barrel X. How much detergent were there in the two barrels in all?
| |
Barrel X |
Barrel Y |
Total |
Before |
7x5 =
35 u |
5x5 =
25 u |
12x5 =
60 u |
| Change |
- 23 |
+ 23 |
|
After |
1x12 =
12 u |
4x12 =
48 u |
5x12 =
60 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 12 is 60.
Amount of detergent transferred from Barrel X to Barrel Y
= 35 u - 12 u
= 23 u
23 u = 23
1 u = 23 ÷ 23 = 1
Total volume of detergent in two barrels
= 60 u
= 60 x 1
= 60 ℓ
Answer(s): 60 ℓ
