Tank W and Tank X had some oil in the ratio 7 : 5. After 27 litres of oil was transferred from Tank W to Tank X, the volume of oil in Tank X became 2 times as much as in Tank W. How much oil were there in the two tanks in all?
| |
Tank W |
Tank X |
Total |
Before |
7x1 =
7 u |
5x1 =
5 u |
12x1 =
12 u |
| Change |
- 27 |
+ 27 |
|
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 W to Tank X
= 7 u - 4 u
= 3 u
3 u = 27
1 u = 27 ÷ 3 = 9
Total volume of oil in two tanks
= 12 u
= 12 x 9
= 108 ℓ
Answer(s): 108 ℓ
