Tank P and Tank Q had some oil in the ratio 7 : 5. After 44 litres of oil was transferred from Tank P to Tank Q, the volume of oil in Tank Q became 3 times as much as in Tank P. How much oil were there in the two tanks in all?
| |
Tank P |
Tank Q |
Total |
Before |
7x1 =
7 u |
5x1 =
5 u |
12x1 =
12 u |
| Change |
- 44 |
+ 44 |
|
After |
1x3 =
3 u |
3x3 =
9 u |
4x3 =
12 u |
The total volume of oil in the tanks remained unchanged. Make the total volume at first and in the end the same. LCM of 4 and 12 is 12.
Amount of oil transferred from Tank P to Tank Q
= 7 u - 3 u
= 4 u
4 u = 44
1 u = 44 ÷ 4 = 11
Total volume of oil in two tanks
= 12 u
= 12 x 11
= 132 ℓ
Answer(s): 132 ℓ
