Barrel P and Barrel Q had some oil in the ratio 9 : 4. After 23 litres of oil was transferred from Barrel P to Barrel Q, the volume of oil in Barrel Q became 3 times as much as in Barrel P. How much oil were there in the two barrels in all?
| |
Barrel P |
Barrel Q |
Total |
Before |
9x4 =
36 u |
4x4 =
16 u |
13x4 =
52 u |
| Change |
- 23 |
+ 23 |
|
After |
1x13 =
13 u |
3x13 =
39 u |
4x13 =
52 u |
The total volume of oil in the barrels remained unchanged. Make the total volume at first and in the end the same. LCM of 4 and 13 is 52.
Amount of oil transferred from Barrel P to Barrel Q
= 36 u - 13 u
= 23 u
23 u = 23
1 u = 23 ÷ 23 = 1
Total volume of oil in two barrels
= 52 u
= 52 x 1
= 52 ℓ
Answer(s): 52 ℓ
