Tank P and Tank Q had some cooking wine in the ratio 7 : 5. After 39 litres of cooking wine was transferred from Tank P to Tank Q, the volume of cooking wine in Tank Q became 2 times as much as in Tank P. How much cooking wine were there in the two tanks in all?
| |
Tank P |
Tank Q |
Total |
Before |
7x1 =
7 u |
5x1 =
5 u |
12x1 =
12 u |
| Change |
- 39 |
+ 39 |
|
After |
1x4 =
4 u |
2x4 =
8 u |
3x4 =
12 u |
The total volume of cooking wine in the tanks remained unchanged. Make the total volume at first and in the end the same. LCM of 3 and 12 is 12.
Amount of cooking wine transferred from Tank P to Tank Q
= 7 u - 4 u
= 3 u
3 u = 39
1 u = 39 ÷ 3 = 13
Total volume of cooking wine in two tanks
= 12 u
= 12 x 13
= 156 ℓ
Answer(s): 156 ℓ
