Barrel Q and Barrel R had some cooking wine in the ratio 7 : 5. After 24 litres of cooking wine was transferred from Barrel Q to Barrel R, the volume of cooking wine in Barrel R became 3 times as much as in Barrel Q. How much cooking wine were there in the two barrels in all?
| |
Barrel Q |
Barrel R |
Total |
Before |
7x1 =
7 u |
5x1 =
5 u |
12x1 =
12 u |
| Change |
- 24 |
+ 24 |
|
After |
1x3 =
3 u |
3x3 =
9 u |
4x3 =
12 u |
The total volume of cooking wine 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 cooking wine transferred from Barrel Q to Barrel R
= 7 u - 3 u
= 4 u
4 u = 24
1 u = 24 ÷ 4 = 6
Total volume of cooking wine in two barrels
= 12 u
= 12 x 6
= 72 ℓ
Answer(s): 72 ℓ
