Tank X and Tank Y had some oil in the ratio 7 : 5. After 33 litres of oil was transferred from Tank X to Tank Y, the volume of oil in Tank Y became 2 times as much as in Tank X. How much oil were there in the two tanks in all?
| |
Tank X |
Tank Y |
Total |
Before |
7x1 =
7 u |
5x1 =
5 u |
12x1 =
12 u |
| Change |
- 33 |
+ 33 |
|
After |
1x4 =
4 u |
2x4 =
8 u |
3x4 =
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 3 and 12 is 12.
Amount of oil transferred from Tank X to Tank Y
= 7 u - 4 u
= 3 u
3 u = 33
1 u = 33 ÷ 3 = 11
Total volume of oil in two tanks
= 12 u
= 12 x 11
= 132 ℓ
Answer(s): 132 ℓ
